In the figure, MNQ and SRlP are straight lines. ∠MSR = 44°, ∠SMR = 50°, ∠NPQ = 27° and ∠NQP = 108°. Find
- ∠MRN
- ∠RMN
(a)
∠MRS
= 180° - 50° - 44°
= 86° (Angles sum of triangle)
∠MRN
= 180° - 86°
= 94° (Angles on a straight line)
(b)
∠QNP
= 180° - 108° - 27°
= 45° (Angles sum of triangle)
∠MNR = ∠QNP = 45° (Vertically opposite angles)
∠RMN
= 180° - 94° - 45°
= 41° (Angles sum of triangle)
Answer(s): (a) 94°; (b) 41°
