Carcass wrote:
Triangle \(PQR\) is isosceles and \(\angle PQR\) measures 50 degrees. Which of the following could be \(\angle PRQ\)?
Select
all values that apply.
(A) 60°
(B) 65°
(C) 80°
(D) 100°
(E) 130°
Key property: An isosceles triangle has two equal anglesIf angle PQR is one of the two equal angles, then angle RPQ could also be 50°, which means angle PRQ would be
80° (since the three angles must add to 180°).
Alternatively, if angle PQR is NOT one of the two equal angles, then angles RPQ and PRQ would each be
65° (since the three angles must add to 180°).
Answer: B and C