Question

1. the following figures are congruent. find the measure of the following. a. ∠v b. op c. st

Explanation:

Step1: Recall congruent - figure property

Corresponding parts of congruent figures are equal.

Step2: Find the measure of ∠V

In the first polygon, the angle corresponding to ∠V in the second polygon has a measure of 136°. Since the figures are congruent, ∠V = 136°.

Step3: Find the length of OP

The side corresponding to OP in the other polygon has a length of 39 km. Since the figures are congruent, OP = 39 km.

Step4: Find the length of ST

The side corresponding to ST in the other polygon has a length of 21 km. Since the figures are congruent, ST = 21 km.

Answer:

a. ∠V = 136°
b. OP = 39 km
c. ST = 21 km