In the figure, MNP and PQR are isosceles triangles where MP = NP and PQ = PR. Given that QS, RU and MW are straight lines, find
- ∠TXW
- ∠RSX
(a)
∠MNP = ∠NMP = ∠PQR = ∠PRQ (Isosceles triangle)
∠PRQ = ∠SRX = 41° (Verticallly opposite angles)
∠URX
= 41° - 15°
= 26°
∠RTX
= 180° - 104°
= 76° (Angles on a straight line)
∠TXW
= 76° + 26°
= 102° (Exterior angle of a triangle)
(b)
∠RSX
= 102° - 41°
= 61° (Exterior angle of a triangle)
Answer(s): (a) 102°; (b) 61°