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Question
If angle P and angle Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is ______.
Options
120°
60°
30°
20°
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Solution
If angle P and angle Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is 120°.
Explanation:
It is given that, angles P and Q are supplementary.
Hence, the sum of P and Q will be 180°
∴ ∠P + ∠Q = 180°
⇒ 60° + ∠Q = 180° ...[∵ ∠P = 60°, given]
⇒ ∠Q = 180° – 60°
⇒ ∠Q = 120°
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