Answer to Question #89687 in Geometry for austin

Question

Find the measure of Angle 3.

measure of angle 1 = x
measure of angle 2 = x-6

2_13c

Answer 1

In a triangle the sum of all the angles equals 180

$$\alpha_1 + \alpha_2 + \alpha_3 = 180^\circ$$ $$\alpha_3 = 180^\circ - \alpha_1 - \alpha_2 = 180^\circ-x-(x-6^\circ) = 186^\circ-2x$$