Question

COROLLARY 1 Prove that the sum of all the angles formed on the same side of a line
at a given point on the line is 180°.​

Answer 1

Answer:

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Step-by-step explanation:

Given = AOM is a straight line and ray OP , OQ and OR stand on it

To Prove = ∠AOP + ∠POQ + ∠QOR + ∠ROM = 180

Proof = Ray OP stands on line AM

∠AOP + ∠POM = 180

∠AOP + ∠POQ + ∠QOR + ∠ROM = 180 [Explanation ∠POQ + ∠QOR + ∠ROM = ∠POM]

∠AOP + ∠POQ + ∠QOR + ∠ROM = 180

Therefore

Sum of all angles formed on same side of line AM at a point O on it is 180