Linear Angles

Assumptions in geometry: rectilinear pair

There is a linear angular couple when two contours cross. The two angles are considered linear if they are neighbouring angles made up of two crossing outlines. 180 degree, so a linear angular couple must be added to 180 degree. Exactly what the presumption is:

Presumption (linear pair presumption): The linear angle pair adds up to 180 degree. Do not hesitate to try the activities page associated with this assumption. Assumptions in the geometry guess list or for introductory purposes.

Complementary, complementary, vertical and linear pairs

is 0 ) { fi rstnum = a { a + "x+ " + b; } else { fi rstnum = a + "x - " + 1 )*b; } if (d > 0) { secondnum = ca n o "x+ " x d; } else { sekondnum = ca n o "x - " ¬ (-1)*d; } str1 = "Assume that $\\,\\\angle is 1\,$ and $\\\\\2\,$ are perpendicular angles.

"; st2 = "Assuming that $\\, m\\\angle 1 = " " + rstnum tones + "\\\\,$ and $\\\,m\\\\angle 2 = " + secondnum tones + "\\\,$. "str = string1, string2, string3; response = "$\displaystyle x = " plus x plus "$"; fraction; case 2: // complementary angle a = randnzno(-10,10); b = randnzno(-100,100); N = rand(1,179); k = randnzno(-4,4); c = k*a; reference //:

abs(a); xt = simpformTeX(numx,denx); // not yet signposted xtans = (N-b)/a; if (xans 0) { fi irstnum = a + "x+ " + b; } else { fi rstnum = a + and " o - " -1*b; (-1)*b; if ( d > 0) { sekondnum = can + "x+ "+ d; } otherwise { sekondnum = can + "x - " + -1 )*d; } str1= " Assuming that $\,\\\angle 1\,$ and $\\, \\angle 2\\,$ are complementary angles.

"; st2 = "Assuming that $\\, m\\\angle 1 = " + firstnum + "\\\,$ and $\\\,m\\\\angle 2 = " + secondnum + "\\\,$.

abs(a); xt = simpformTeX(numx,denx); // not yet signposted xtans = (N-b)/a; if (xans 0) { fi irstnum = a+ " xt + " + b; } else { fi rstnum = a+" xt - " + 1)*b; if ( d > 0) { sekondnum = can + "x+ " + d; } otherwise { sekondnum = can + "x - " + -1 )*d; } str1 = "Suppose $\, \\\angle 1\,$ and $\\, \\angle 2\\,$ are a linear couple.

"¶ "¶; assuming that $\\, m\\\angle 1 = " ¶ plus mustard and ¶ \\\, ¶ and ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ¶¶ first first, first, first, first, first, first, first, first, first, first, first, first, first, first, first, first, first, first, first, first, first, first, second, second, second, second, second, second, second, second. "str = string1+str2 +str3; response = "$x = "+ x x + "$"; fraction; case 4: abs(a); x = simpformTeX(numx,denx); // unsigned abs = (N-b)/a; if (xans 0) { fi rstnum = a + "x+ " + b; } else { fi rstnum = a + "x - " -1)*b;

if ( d > 0) { sekondnum = a + "x + " + d; } otherwise { sekondnum = a + "x - " + -1 )*d; } str1 = "Assume that $\,\\\angle 1\,$ and $\\, \\angle 2\\,$ are complimentary. "{\\\, $\\, $\\\angle 1 = " Martin, $\\, $\\\angle 2 = " Martin, $\\\angle 2 = " Martin, $\\\\angle 2 = " Martin, $\\\angle 2 = " Martin, $\\\\, $\\\\, $\\\\, M\\\\, 1 =

Type a line about $\\\ m\\\angle "+ltr1+"\\\\\$ and $\\\\ m\\\\age "+ltr2+"\\\\\\$, that's right. "The answer " ; Antwort = "$m\\\angle "+ltr1+" + m\\angle " +ltr2+ " = 90^{\circ}$" ; } else { string = 1 = "Suppose that $\\,m\\\,m\\\angle "+ltr1+" + m\\\\\angle "+ltr2+" = 90^{\circ}\\\\\,$. Type a line about $\\\ m\\\angle "+ltr1+"\\\\\$ and $\\\\ m\\\\age "+ltr2+"\\\\\\$, that's right.

Otherwise { strings = "Suppose three dots are on a line with $\\\, "+ltr2+"{-}"+ltr1+"{-}"+ltr3+"\\\\\. So, $\\, m\\\angle "+ltr1+" + m\\\angle "+ltr2+" = \\, $______________. "and \\\1 + "\\,$ and $\\, \\\\, \\\\ + Itr2 + "\\, $ are a linear pair."

So, $\\, m\\\angle "+num1+" - m\\\angle "+num2+" = \\, $______________. "and \\\, \\angle " + number1 + "\\, $ and $\\\, \\\, \\angle " + number2 + "\\\, $ are verticals. So, $\\, m\\\angle "+num2+" - m\\\angle "+num1+" = \\, $______________. "else { string = "Which name is given to two strokes that are on the same level and do not cross?

"Response = "Two straight line are orthogonal if and only if they make a right corner. "else { string=" Which name is given to two right-angled line names? Random (); if (chs 0) { 1stnum = a + "x + " + b; } else { 1stnum = a + and " x - " + 1 )*b; } if (d > 0) { secondondnum = a + "x - " + 1 )*b; } if (d > 0) { secondondnum = a + "x + ' + " + d; } else { secondondnum = a + "x+ " + d; } else { secondondnum = a + "x - " + (-1)*d; } str1 = "Assume that $\\\\\\1 and $\\\\,$ and $\\\,$ and $\\\ are vertical \\

"\\\\,$ and $\\\,m\\\angle 2 = " & second-num & "\\\\,$ and $\\\\\\\\\" 2 = " & second-num & "\\\\,$. "<i > ; > ; strings "<i > ; > ; strings = 1 "<i > ; > ; strings "<i > ; > ; strings = 1 > "<i > ; > ; strings "<i > ; > ; strings = 1 "<i > ; > ; strings "<i > ; > ; strings = 1 >str2 >>> ; cas 2 : Complementary angle a = randnzno(-10,10); b = randnzno(-100,100); N = rand(1,179); k = randnzno (-4,4); a = d = n = k*a; hint: d must be a multiples of a; d cannot be zero or 1 or -1 d = 180 - N - k*N + k*b; numer = mathematics.

abs(a); xt = simpformTeX(numx,denx); // not yet signposted xtans = (N-b)/a; if (xans 0) { fi irstnum = a + "x + " + b; } else { fi rstnum = a + and " o - " and ( -1)*b; if ( d > 0) { sekondnum = can + "x+ "+ d; } otherwise { sekondnum = can + "x - " + -1 )*d; } str1 = "Assuming that $\,\\\angle 1\,$ and $\\, \\angle 2\\,$ are complementary angles.

"\\\, $\\, $\\\angle 1 = " Martin, $\\\, $\\\\angle 2 = " Martin, $\\\\angle 2 = " Martin, $\\\\angle 2 = " Martin, $\\\\angle 2 = " Martin, $\\\\\, $\\\. "str = string1 + string2 + string3; answ=" $x = " x+ " $"; string += " "; break; case 3: // linear couple a = randnzno(-10,10); b = randnzno(-100,100); N = rand(1,179); k = randnzno(-4,4); c = k*a; and // note:

abs(a); xt = simpformTeX(numx,denx); // not yet signposted xtans = (N-b)/a; if (xans 0) { fi irstnum = a+" xt+ "+ b; } else { fi rstnum = a+" xt - "+ ( -1)*b; if ( d > 0) { sekondnum = can + "x+" "+ d; } otherwise { sekondnum = can + "x - " + -1 )*d; } str1= "Suppose $\, \\\angle 1\,$ and $\\, \\angle 2\\,$ are a linear couple.

"; st2 = "Assuming that $\\, m\\\angle 1 = "++ firstnum + "\\\,$ and $\\\,m\\\\angle 2 = " + secondsum + "\\\,$.

if ( d > 0) { sekondnum = a + "x+" a + d; } else { sekondnum = a + "x - " a + (-1)*d; } str1= " Assuming that $\,\\\angle 1\,$ and $\\, \\angle 2\\,$ are complimentary. "¶ "¶; assuming that $\\, m\\\angle 1 = " and firstnum + "\\\, $, and $\\\, m\\\angle 2 = " and secondum + "\\\, $.

"; str = string1+str2 + str3; answ=" $x = " x+ + "$"; string++= " Type a phrase about $\\\ m\\\angle "+ltr1+"\\\\$ and $\\\\ m\\angle " +ltr2+"\\\\ $ that's right. "¶ "¶" ; answ = "$m\\\angle "+ltr1+" Martin = 90^{\circ}$" ; } sinon { rig = "Suppose que $\\, m\\\\\\angle "+ltr1+" Martin = 90^{\circ} ¶$, }" ¶.

Type a line about $\\\ m\\\angle "+ltr1+"\\\\\$ and $\\\\ m\\\\age "+ltr2+"\\\\\\$, that's right. " ; answ = " ; $m\\\angle " ; answ is " " ; m\\angle " " ; answ is " " ; m\\angle " " ; answ is " " ; m\\angle " ; answ is " ; m\\angle " ; answ is " ; m\\angle " ; answ is " ; m\\angle " ; answ is " ; m\\\angle " ; answ is " ; {\\angle " ; answ is " ; m\\angle " ; answ is " ; {\\angle " ; answ is " ^ { chaîne " \circ} $ } } } }, $ \\ }, \ \\\\\angle "^ ¶ ¶ ¶ ¶ ¶ ¶ ¶ ; $ $ ; m\\\ < m\ < m\ \ < < m \ \ @ @ @ ^ @ ¶ @ = 180^ \circ} $,$ \ Otherwise { strings = "Suppose three dots are on a line with $\\\, "+ltr2+"{-}"+ltr1+"{-}"+ltr3+"\\\\\.

So, $\\, m\\\angle "+ltr1+" + m\\\angle "+ltr2+" = \\, $______________. "; answ= " $180^{\circ}$"; } else { string = "Assuming that $\\\,\\, \\1 + "\\\,$ and $\\\, \\\\, \\\\ + Itr2 + "\, $ are a linear couple. So, $\\, m\\\angle "+num1+" - m\\\angle "+num2+" = \\, $______________. "...answ = "$0$"; } otherwise { string = "Suppose this $\\, \\\angle " + number1 + "\\,$ and $\\\,\\, \\\angle " + number2 + "\\, $ are perpendicular angles.