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:
[tex]\frac{6x}{6} = \frac{36}{6}[/tex]
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!
