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x = 148

Step-by-step explanation:

( Note that ∠DPB = 32° and ∠CPB is x )

∠DPB and ∠CPB are supplementary angles.

Supplementary angles add up to 180°

This means that ∠DPB + ∠CPB must equal 180

If ∠DPB = 32° and ∠CPB = x , then 32 + x = 180

( Note that we've just created an equation that we can use to solve for x )

We now solve for x using the equation we just created

x + 32 = 180

* subtract 32 from both sides *

we're left with x = 148