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Question
In the given figure, POQ is a line. If x = 30°, then ∠QOR is ______.
Options
90°
30°
150°
60°
MCQ
Fill in the Blanks
Solution
In the given figure, POQ is a line. If x = 30°, then ∠QOR is 90°.
Explanation:
It is given that, POQ is a line. Since, the sum of all the angles on a straight line is 180°.
Therefore, x + 2y + 3y = 180°
⇒ x + 5y = 180° ......[∵ x = 30°, given]
⇒ x + 5y = 180°
⇒ 30° + 5y = 180°
⇒ 5y = 180° – 30°
⇒ 5y = 150°
⇒ y = `150^circ/5`
⇒ y = 30°
∴ ∠QOR = 3y = 3 × 30° = 90°
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