Question

2. 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 the steps/work that proves this theorem.

Step 1: __

Step 2: __

Step 3: __

(b) what is the measurement of

Answer 1

< x = 120°

Explanation

Step 1:

According to angle sum property,

y + 50 + 70 = 180

Step 2:

x and y are linear pairs, forming a supplementary angle.

Therefore,

x + y = 180

Step 3:

Since they are both equal to 180, equate the values

y + 50 + 70 = x + y

x = 70 + 50

x = 120