Question

In the following figure, if y is five times x, find the value of z.

Answer 1

Given, y = 5x

According to the angle sum property of a triangle,

60° + x + y = 180°

⇒ 60° + x + 5x = 180°  ...[∵ y = 5x]

⇒ 60° + 6x = 180°

⇒ 6x = 180° – 60° = 120° 

⇒ x = `120^circ/6` = 20°

∴ y = 5x = 5 × 20 = 100°

According to the exterior angle property,

z = 60° + y

= 60° + 100°  ...[∵ y = 100°]

= 160°