Question

If ZBPD and ZDPC have a sum of 72°. What is ZAPC?

A. 180.

B.90.

C.180.

D.18.​

Answer 1

∡APC = 108°

Explanation:

∡ APB = 180°

∡ DPB + ∡ CPB + ∡APC = 180°

∡ BPD and ∡DPC have a sum of 72°

then:

72° + ∡APC = 180°

∡APC = 180° - 72°

∡APC = 108°

Answer 2

Hey there!

I don't know if it's too late, but oh well: The answer is 108°

Knowing that supplementary angles add up to 180°, and we also know that we have 2 out of 3 of the angle measures, so we can subtract that from 180:

180 - 72 =108°

Have a terrificly amazing day!