Supplementary Angkes

In the case where the total of the dimensions of two corners is 180°, these corners are referred to as additional corners and each of them as an addition to the other. Corners of two different angle can be the same or different. Shown in the picture AOC and BOC are additional angle like ?AOC + ?BOC = 180°.

Here also QPR and EDF are additional angle like ?QPR + ?EDF = 130° + 50° = 180°. 60° and 120 angles are additional angle. i) Two pointed corners cannot be added. Two right angle are always complementary. iii ) Two blunt corners cannot be complemented from each other.

Problems worked out with additional angles: 1. Check if 115°, 65 are a couple of additional brackets. Therefore, they are a couple of complementary brackets. Locate the addition of the bracket (20 + y)°. When the measurement angels (x - 2) and (2x + 5) are a couple of additional angels.

Locate the action. As ( x - 2) and (2x + 5) represents a couple of additional angle, their total must be 180°. Therefore, the two additional angle are 57° and 123°. There are two additional angle values in the 7: 8 proportion. Find the measurement of the angle.

Shared relationship is x. If one corner is 7x, the other corner is 8x. Therefore, the two additional angels are 84° and 96°. The given illustration shows the measurement for the unfamiliar corner.

Why do $sin$ of additional angle have the same value?

Consider this number now: a=2rsin?.a=2rsin?. rsin? is the measurement of the even corner, i.e. a=2rsin??.a=2rsin??. When defining the sinus over the unity circles, this picture should illustrate the fact that the beams corresponding to additional angels cut the unity circles into points with the same y-coordinate so that the two angels have the same sinus (and opposite cosine).