In the figure, TMPS and TMNR are parallelograms. Given that ∠PMQ = 10°, ∠TSR = 75° and TRS is an isosceles triangle where TR = TS. Find
- ∠MQP
- ∠TMQ
(a)
∠MPS
= 180° - 75°
= 105° (Interior angles)
∠MQP
= 180° - 105° - 10°
= 65° (Angles sum of triangle)
(b)
∠TMQ
= ∠MQP
= 65° (Alternate angles)
Answer(s): (a) 65°; (b) 65°