WAEC - Mathematics (1998 - No. 54)

In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35°. Find ∠QPR

70^o

50^o

45^o

40^o

35^o

In the diagram above,

α = 35º ( base angles of isosceles triangle)

< PRQ = 35º + 35º = 70º ( sum of opp. interior angles)

< QPR = 180º - ( 70 + 70)º = 40º