Question

question 8 of 10
what is the measure of ∠bpu?
a. 100°
b. 80°
c. 60°
d. 40°

Explanation:

Step1: Identify vertical angle

$\angle BPU = \angle DPA$ (vertical angles are equal)

Step2: Calculate $\angle DPA$

First find $\angle DPC$: $\angle DPC = 180^\circ - 40^\circ - 60^\circ = 80^\circ$
$\angle DPA = \angle DPC = 80^\circ$ (vertical angles match)

Answer:

B. $80^\circ$