The figure shows a rectangle LMNP. ∠LPQ = 57° and ∠MPN = 43°. Find
- ∠MPQ
- ∠LMP
(a)
∠MPQ
= 57° + 43° - 90°
= 10° (Overlapping angles)
(b)
∠LPM
= 57° - 10°
= 47° (Overlapping angles)
∠LMP
= 180° - 90° - 47°
= 43° (Angles sum of triangle)
Answer(s): (a) 10°; (b) 43°