QRST is a rhombus. QTU is an equilateral triangle. Find
- ∠UQR
- ∠QRT
(a)
∠UQT
= 180° ÷ 3
= 60° (Equilateral triangle)
∠RQT = ∠RST = 106° (Rhombus)
∠UQR
= 106° + 60°
= 166°
(b)
∠QRT
= (180° - 106°) ÷ 2
= 37° (Isosceles triangle)
Answer(s): (a) 166°; (b) 37°