Question

In the figure, x is an exterior angle to the triangle below. (a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with steps/work that proves this theorem. (there should be at least 3 steps).
Step 1:
Step 2:
Step 3:
b) what is the measurment of

Answer 1

The proof shows that x is equal to the sum of the interior adjacent angles

Sum of interior and exterior angle of a triangle

From the given triangle:

x + y = 180 (sum of angle on a straight line is 180 degrees)

Also, the sum of an interior angle of the triangle is 180 degrees, hence:

y + 50 + 70 = 180

Equate both expressions

x + y = y + 50 + 70

x + y - y = 50 + 70

x = 50 +70

This shows that x is equal to the sum of the interior adjacent angles

Learn more on exterior angles here: https://brainly.com/question/17972372