In Fig. 6.46, if y is five times x, find the value of z.
z = 160°
∠R = 60°. So, x + y + 60 = 180 ⇒ y = 5x ⇒ x + 5x + 60 = 180 ⇒ 6x = 120 ⇒ x = 20°, y = 100°. Then z = 180 − (x+60) = 160°.