41.3k views
5 votes
Find the indicated angle measure.

Find the indicated angle measure.-example-1
User Clemisch
by
7.4k points

1 Answer

4 votes

Answer:

m∠MNQ = 25°

Explanation:

From this image, we can assume that ∠MNQ ≅ ∠PNR because they are vertical angles.

Because they are vertical angles, they are congruent to each other. Use this information to create an equation.

m∠MNQ = 2x - 1

m∠PNR = 5x - 40

m∠MNQ ≅ m∠PNR

2x - 1 = 5x - 40

Solve the equation

2x = 5x - 39

-3x = -39

x = 13

Plug in the answer for m∠MNQ

m∠MNQ = 2x - 1

m∠MNQ = 2(13) - 1

m∠MNQ = 26 - 1

m∠MNQ = 25

m∠MNQ = 25°

User Jezell
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories