Question

Finding angle measures between intersecting lines

Answer 1

x = 47°

Explanation:

From the picture attached,

CPD is a straight line.

Therefore, ∠CPB and ∠DPB is a linear pair of angles.

And linear pair of angles are supplementary.

By the property of linear pair of angles,

m∠CPB + m∠DPB = 180°

133 + x = 180

x = 180 - 133

x = 47°