In the figure, MNQ and SRlP are straight lines. ∠MSR = 40°, ∠SMR = 50°, ∠NPQ = 32° and ∠NQP = 115°. Find
- ∠MRN
- ∠RMN
(a)
∠MRS
= 180° - 50° - 40°
= 90° (Angles sum of triangle)
∠MRN
= 180° - 90°
= 90° (Angles on a straight line)
(b)
∠QNP
= 180° - 115° - 32°
= 33° (Angles sum of triangle)
∠MNR = ∠QNP = 33° (Vertically opposite angles)
∠RMN
= 180° - 90° - 33°
= 57° (Angles sum of triangle)
Answer(s): (a) 90°; (b) 57°
