Question

1. the following figures are congruent. find the measure of the following. a. ∠v b. (overline{op}) c. (overline{st})

Explanation:

Step1: Recall congruent - figure property

Corresponding parts of congruent figures are equal.

Step2: Find measure of ∠V

In the first figure, the angle corresponding to ∠V in the second figure has a measure of 43°. Since the figures are congruent, ∠V = 43°.

Step3: Find length of $\overline{OP}$

The side corresponding to $\overline{OP}$ in the other figure has a length of 30 km. Since the figures are congruent, $OP = 30$ km.

Step4: Find length of $\overline{ST}$

The side corresponding to $\overline{ST}$ in the other figure has a length of 21 km. Since the figures are congruent, $ST = 21$ km.

Answer:

a. 43°
b. 30 km
c. 21 km