In the figure, XRTW and XRSV are parallelograms. Given that ∠TRU = 12°, ∠XWV = 73° and XVW is an isosceles triangle where XV = XW. Find
- ∠RUT
- ∠XRU
(a)
∠RTW
= 180° - 73°
= 107° (Interior angles)
∠RUT
= 180° - 107° - 12°
= 61° (Angles sum of triangle)
(b)
∠XRU
= ∠RUT
= 61° (Alternate angles)
Answer(s): (a) 61°; (b) 61°