Question

HELP!! 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 < x ?

Answer 1

Answer:

< x = 120°

Step-by-step 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