In the figure, MNQ and SRlP are straight lines. ∠MSR = 45°, ∠SMR = 44°, ∠NPQ = 32° and ∠NQP = 111°. Find
- ∠MRN
- ∠RMN
(a)
∠MRS
= 180° - 44° - 45°
= 91° (Angles sum of triangle)
∠MRN
= 180° - 91°
= 89° (Angles on a straight line)
(b)
∠QNP
= 180° - 111° - 32°
= 37° (Angles sum of triangle)
∠MNR = ∠QNP = 37° (Vertically opposite angles)
∠RMN
= 180° - 89° - 37°
= 54° (Angles sum of triangle)
Answer(s): (a) 89°; (b) 54°