In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35^\circ. Find ∠QPR
Attached Figure / Diagram
A
70o
B
50o
C
45o
D
40o
E
35o
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
In the diagram above,
\alpha = 35º ( base angles of isosceles triangle)
< PRQ = 35º + 35º = 70º ( sum of opp. interior angles)
< QPR = 180º - ( 70 + 70)º = 40º
Source: Myschool Past Questions Archive (Record #26370)