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If a ray stands on a line, then the sum of two adjacent angle is 180°.

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in Mathematics - Class 9 by (679k points)
If a ray stands on a line, then the sum of two adjacent angle is 180°.

(a) True

(b) False

I have been asked this question in class test.

My question comes from Pair of Angles in section Lines and Angles of Mathematics – Class 9

1 Answer

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Best answer
Correct option is (a) True

To explain I would say: As shown in below diagram, we can see that ray OQ stands on line PQ.

We know that angle formed by a line is 180° so angle formed by the line PQ is 180°.

We also know that for two adjacent angles ∠POR and ∠ROQ,

∠POR + ∠ROQ = ∠POQ = angle formed by line PQ = 180°.

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