Question

In the figure, ZQ is congruent to ZT and ZR is congruent to ZU. What are the measures of ZP and ZS?

Answer 1

Angle P: 110°

Angle S: 110°

Explanation:

Since angle P and angle S are congruent, that means they are equal to each other.

Setup an equation so that they are equal to each other and solve for x.

2x + 10 = 3x - 40

2x - 2x +10 = 3x -2x - 40

10 = x - 40

10 + 40 = x - 40 + 40

x = 50

For each angle, plugin for x and solve. You should get the same answer since they are congruent.

Angle P:

2x + 10

2(50) + 10

100 + 10

110°

Angle S:

3x - 40

3(50) - 40

150 - 40

110°