Math, asked by zaheeraasif, 10 months ago

In the given figure, ABC is a triangle, prove that angleBPC = 90° +1/2× angleBAC​

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Answered by NHarjani
1

angle BAC = 180°-(2theta +2a)

= 180° -2(theta +a)

=2[90°-(theta +a)]

angle BPC = 180°-(theta + a)

= 90°+90°-(theta +a)

= 90° + ½*2[90°-(theta +a)]

= 90° +½angle BAC

PROVED.

Answered by keyboardavro
1

Answer:

Step-by-step explanation:

angle BAC = 180°-(2theta +2a)

= 180° -2(theta +a)

=2[90°-(theta +a)]

angle BPC = 180°-(theta + a)

= 90°+90°-(theta +a)

= 90° + ½*2[90°-(theta +a)]

= 90° +½angle BAC

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