RSTU is a quadrilateral and ORUT is a trapezium in which OR // UT and ∠SRU = 112°, ∠RUT = 122°, ∠STU = 65° and UT = UR. Find
- ∠RSO
- ∠URO
- ∠RTU.
(a)
∠RSO
= 360° - 122° -112° - 65°
= 61° (Sum of angles in a quadrilateral)
(b)
∠URO
= 180° - 122°
= 58° (Interior angles, RO//UC)
(c)
∠RTU
= (180° - 122°) ÷ 2
= 58 ÷ 2
= 29° (Isosceles triangle)
Answer(s): (a) 61°; (b) 58°; (c) 29°