In the figure, QRST is a quadrilateral where ∠QRS = 128° and ∠RST = 114°. ∠STU = 74° and RS = ST. The point U on QT is such that RU is parallel to ST. Calculate
- ∠RTU
- ∠RQU
(a)
∠STR
= (180° - 114°) ÷ 2
= 33° (Isosceles triangle)
∠RTU
= 74° - 33°
= 41°
(b)
∠RQU
= 360° - 114° - 74° - 128°
= 44° (Sum of angles in a quadrilateral)
Answer(s): (a) 41°; (b) 44°