Question

If ∠BPE is a right angle, m∠BPD = (3x+5)°, and m∠EPD = 2x°, then find m∠BPD

Answer 1

x = 17, m∠BPD = 56°

Explanation:

Answer 2

x = 17, m∠BPD = 56°

Step-by-step explanation

Since ∠BPE is a right angle

Therefore,

(3x +5)° + 2x° = 90°

(5x + 5)° = 90°

5x + 5 = 90

5x = 90 - 5

5x = 85

x = 85/5

x = 17

m∠BPD = (3x+5)° = (3*17+ 5)°= (51+5)° = 56°

m∠BPD = 56°