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Question
In the following figure, POQ is a line, then a is ______.
Options
35°
100°
80°
135°
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Solution
In the following figure, POQ is a line, then a is 80°.
Explanation:
Since, POQ is a line
Here, ∠POR and ∠QOR form a linear pair
∴ ∠POR + ∠QOR = 180° ...[∵ Sum of the linear pair is 180°]
⇒ 100° + a = 180°
⇒ a = 180° – 100° = 80°
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