In the figure, MNQ and SRlP are straight lines. ∠MSR = 44°, ∠SMR = 44°, ∠NPQ = 34° and ∠NQP = 102°. Find
- ∠MRN
- ∠RMN
(a)
∠MRS
= 180° - 44° - 44°
= 92° (Angles sum of triangle)
∠MRN
= 180° - 92°
= 88° (Angles on a straight line)
(b)
∠QNP
= 180° - 102° - 34°
= 44° (Angles sum of triangle)
∠MNR = ∠QNP = 44° (Vertically opposite angles)
∠RMN
= 180° - 88° - 44°
= 48° (Angles sum of triangle)
Answer(s): (a) 88°; (b) 48°
