RSTU is a quadrilateral and ORUT is a trapezium in which OR // UT and ∠SRU = 113°, ∠RUT = 124°, ∠STU = 62° and UT = UR. Find
- ∠RSO
- ∠URO
- ∠RTU.
(a)
∠RSO
= 360° - 124° -113° - 62°
= 61° (Sum of angles in a quadrilateral)
(b)
∠URO
= 180° - 124°
= 56° (Interior angles, RO//UC)
(c)
∠RTU
= (180° - 124°) ÷ 2
= 56 ÷ 2
= 28° (Isosceles triangle)
Answer(s): (a) 61°; (b) 56°; (c) 28°