Question

In the case given below, find the value of x so that POQ is straight line

Answer 1

POQ is a straight line.

In the given figure,

∵ POQ is a straight line

∴ ∠POL + ∠LOM + ∠MOQ = 180°  (Straight line angles)

⇒ x + 20° + 2x - 30° + 3x - 50°= 180°

⇒ 6x + 20° - 80° = 180°

⇒ 6x - 60° = 180°

⇒ 6x = 180° + 60° = 240°

⇒ x = `240^circ/6`

⇒ x = 40°

∴ x = 40°