Math, asked by Prince7744, 8 months ago

please answer me fast with explain ​

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Answers

Answered by Yogini1234
1

Answer:

Step-by-step explanation:

May be this answer is correct

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Answered by amansharma264
3

EXPLANATION.

  • GIVEN

A triangle of vertices = ABC

TO Prove.

<A + <B + <C = 180°

<1 + <2 + <3 = 180°

CONSTRUCTION.

Draw a line xy passes through p parallel to QR

PROOF.

For line XY AND QR

with transversal QR

<2 = <4 = ....(1) [ Alternate angles ]

<3 = <5 = .....(2) [ Alternate angles ]

Also for a line XY

<1 + <4 + <5 = 180° [Linear pair ]

From equation (1) and (2) we get,

<1 + <2 + <3 = 180°

Hence,

The sum of all angles of triangle is = 180°

HENCE PROVED.

Note for diagram see the image attachment.

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