Question

2. In the figure, x is an exterior angle to the triangle below x Y 50. 70° (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. Answer (there should be at least 3 steps): Step 1: Step 2: Step 3: (b) What is the measurement of <x?

          2. In the figure, x is an exterior angle to the triangle below
x Y
50.
70°
(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.
Answer (there should be at least 3 steps):
Step 1:
Step 2:
Step 3:
(b) What is the measurement of <x?

2. In the figure, x is an exterior angle to the triangle below
x Y
50.
70°
(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.
Answer (there should be at least 3 steps):
Step 1:
Step 2:
Step 3:
(b) What is the measurement of <x?

Added by Melissa T.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Sikandar Baig

Step 1

Step 1: Let's assume that angle A measures x degrees and angle B measures y degrees. Show more…

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In a figure, let's denote the nonadjacent interior angles as angle A and angle B. The sum of the measures of these angles is equal to 180 degrees. To prove this theorem, we can present the equation with step-by-step work. Step 1: Let's assume that angle A measures x degrees and angle B measures y degrees. Step 2: According to the theorem, the sum of the measures of angle A and angle B is equal to 180 degrees. Therefore, we can write the equation as x + y = 180. Step 3: To find the measurement of angle x, we need to solve the equation. (b) What is the measurement of angle x?