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If mZA = 8x + 14 and mZB = 2x + 50, what is mZB?

User Neekey
by
2.9k points

1 Answer

2 votes

Answer

Angle B = 62°

Step-by-step explanation

Vertically opposite angles are angles that are directly opposite each other when two lines cross. They have been proven to be equal to each other.

Hence, we can say that Angle A = Angle B

Angle A = 8x + 14

Angle B = 2x + 50

Angle A = Angle B

8x + 14 = 2x + 50

Collect like terms on the same side

8x - 2x = 50 - 14

6x = 36°

Divide both sides by 6

(6x/6) = (36°/6)

x = 6°

So, we can calculate Angle B properly now

Angle B = 2x + 50

= 2(6) + 50

= 12 + 50

= 62°

Hope this Helps!!!

User Giuliano Galea
by
3.5k points