PQRS is a rhombus, LMS and QMR are straight lines. If QM = MS, ∠MSR = 17° and ∠NQR = 30°, find
- ∠MRS
- ∠NLM
(a)
∠MRS
= 83° - 17°
= 66° (Exterior angle of a triangle)
(b)
∠QLM
= 83° - 30°
= 53° (Exterior angle of a triangle)
∠NLM
= 180° - 53°
= 127° (Angles on a straight line)
Answer(s): (a) 66°; (b) 127°