Question

Line AC and line DB intersect at point P. Solve for angle BPQ.

To earn full credit for presenting and defending your mathematical solution, you must share the equation, show the steps to solving for the variable x, show the steps to solving for angle BPQ.

Answer 1

Angle BPQ = 64°

Explanation:

4x + 12 +2x = 90

6x + 12 = 90

- 12 -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

(52 + 12)°

64°