Question

∠A and angle B∠B are vertical angles. If m∠A=(3x+9) and m∠B=(4x-7), then find the measure of ∠B.

Answer 1

x = 2

Explanation:

Remark

Vertical Angles are equal

Givens

<A = 3x + 9

<B = 4x + 7

Solution

<A = <B

4x + 7 = 3x + 9 Subtract 3x from both sides.

4x -3x + 7 = 3x-3x +9 Combine

x + 7 = 9 Subtract 7 from both sides.

x + 7-7= 9-7

x = 2