The figure shows a rectangle LMNP. ∠LPQ = 64° and ∠MPN = 40°. Find
- ∠MPQ
- ∠LMP
(a)
∠MPQ
= 64° + 40° - 90°
= 14° (Overlapping angles)
(b)
∠LPM
= 64° - 14°
= 50° (Overlapping angles)
∠LMP
= 180° - 90° - 50°
= 40° (Angles sum of triangle)
Answer(s): (a) 14°; (b) 40°