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