The figure shows a rectangle LMNP. ∠LPQ = 64° and ∠MPN = 42°. Find
- ∠MPQ
- ∠LMP
(a)
∠MPQ
= 64° + 42° - 90°
= 16° (Overlapping angles)
(b)
∠LPM
= 64° - 16°
= 48° (Overlapping angles)
∠LMP
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
Answer(s): (a) 16°; (b) 42°