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7 votes
7 votes
I need to find what m

I need to find what m-example-1
User YarGnawh
by
3.0k points

2 Answers

19 votes
19 votes

Answer:

66°

Explanation:

Because the two angles are vertical, this means they are opposite each other ergo they are the same size.

This means we can write the question like:

m∠A = m∠B

8x + 14 = 2x + 50

Step 1 - Subtract 14 from each side:

8x + 14 - 14 = 2x + 50 - 14

8x = 2x + 36

Step 2 - Subtract 2x from each side:

8x - 2x = 2x + 36 - 2x

6x = 36

Step 3 - Divide both sides of the equation by 6:


(6x)/(6) = (36)/(6)

Which simplifies to:

x = 6

m∠B = 2x + 50 so substitute in the solved x:

2(6) + 50 = 66

So m∠B = 66°

Hope this helps!

User Analytic Lunatic
by
3.1k points
24 votes
24 votes

Answer:

72

Explanation:

User Zachary Fisher
by
2.6k points