If an angle is 60° less than two times of its supplement, then the greater angle is
(a) 100°
(b) 80°
(c) 60°
(d) 120°
Let angle = x, supplement = 180 − x.
Given: x = 2(180 − x) − 60 ⇒ x = 360 − 2x − 60 ⇒ 3x=300 ⇒ x=100°.
So greater angle = 100°.