In the figure, MNQ and SRlP are straight lines. ∠MSR = 46°, ∠SMR = 46°, ∠NPQ = 26° and ∠NQP = 112°. Find
- ∠MRN
- ∠RMN
(a)
∠MRS
= 180° - 46° - 46°
= 88° (Angles sum of triangle)
∠MRN
= 180° - 88°
= 92° (Angles on a straight line)
(b)
∠QNP
= 180° - 112° - 26°
= 42° (Angles sum of triangle)
∠MNR = ∠QNP = 42° (Vertically opposite angles)
∠RMN
= 180° - 92° - 42°
= 46° (Angles sum of triangle)
Answer(s): (a) 92°; (b) 46°