Answer:
The sum of the measures of ∠1 and ∠2 is 131 degrees
Explanation:
The picture of the question in the attached figure
step 1
Find the measure of angle 1
In this problem Line p is parallel to segment BC
so
----> by alternate interior angles
step 2
Find the measure of angle 2
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
In the triangle ABC
step 3
Find the sum of the measures of ∠1 and ∠2
we have
so