Answer:
x = 35
Step-by-step explanation:
DPB is a straight line, thus
∠ DPE + ∠ EPB = 180° ← ∠ DPE = 125°, thus
125° + ∠ EPB = 180° ( subtract 125 from both sides )
∠ EPB = 55°
∠ CPE is aright angle = 90°, thus
x = ∠ CPE - ∠ EPB = 90° - 55° = 35°
35°
Angle BPE = 180 - 125 = 55° (supplementary angles)
Angle CPB = CPE - BPE
= 90 - 55 (complementary angles)
= 35°
