In the figure, XRTW and XRSV are parallelograms. Given that ∠TRU = 11°, ∠XWV = 78° and XVW is an isosceles triangle where XV = XW. Find
- ∠RUT
- ∠XRU
(a)
∠RTW
= 180° - 78°
= 102° (Interior angles)
∠RUT
= 180° - 102° - 11°
= 67° (Angles sum of triangle)
(b)
∠XRU
= ∠RUT
= 67° (Alternate angles)
Answer(s): (a) 67°; (b) 67°