Question

Number 13 Find the measures of angles 1, 2, and 3.

Answer 1

Answer:

1. 37

2. 26

3. 26

Step-by-step explanation:

Subtracting 63 from 180, you find the linear pair, being 117 which helps find an angle in the lower triangle. The sum of all angles is 180, and to find 2, you subtract the known angles ( 180-(37+117)) which equals 26. Knowing the shape is a parallelogram, and the opposite sides are parallel, we can say 2 and 3 are congruent through the alternate interior angles theorem. 1 is found through applying the same theorem.