Question

ZA and B are vertical angles. If m_A = (3x + 13) and mZB = (5x + 9), then find the measure of ZA.

Answer 1

Angle A = 19°

Step-by-step explanation

Vertical angles are angles that are directly opposite each other at a point where two lines intersect or cross each other. Vertical angles are known to be equal to each other.

So, Angle A = Angle B

Angle A = 3x + 13

Angle B = 5x + 9

3x + 13 = 5x + 9

We can rewrite this as

5x + 9 = 3x + 13

5x - 3x = 13 - 9

2x = 4

Divide both sides by 2

(2x/2) = (4/2)

x = 2

Angle A = 3x + 13 = 3(2) + 13 = 6 + 13 = 19°

Hope this Helps!!!