Question

I need to find what m

Answer 1

Answer:

72

Step-by-step explanation:

Answer 2

Answer:

66°

Step-by-step 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:

$\frac{6x}{6} = \frac{36}{6}$

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!