The figure shows a rectangle MNPQ. ∠MQR = 59° and ∠NQP = 41°. Find
- ∠NQR
- ∠MNQ
(a)
∠NQR
= 59° + 41° - 90°
= 10° (Overlapping angles)
(b)
∠MQN
= 59° - 10°
= 49° (Overlapping angles)
∠MNQ
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
Answer(s): (a) 10°; (b) 41°