Pls Solve this question in easy way of triangles - Maths - Triangles

Question

Pls Solve this question in easy way of triangles

ॐ | तनिष | ॐ · Answer

AP=BP [GIVEN]
AQ=QB [GIVEN]
AB=AB [COMMON]
BY S S S CRITERION OF CONGRUENCY WE CAN SAY
THAT TRIANGLE APB=AQB

BY CPCT <PAB=<BAQ & <PBA=<ABQ

SO WE CAN SAY THAT

<PAB+<BAQ=<PAQ
<PAB+<PAB=<PAQ [PROVED ABOVE THAT <PAB=<BAQ SO
WE CAN WRITE <PAB INSTEAD OF <BAQ AS BOTH ARE EQUAL ]
<PBA+<ABQ=<PBQ[PROVED ABOVE THAT <PBA=<ABQ SO WE
CAN WRITE <PBA INSTEAD OF <ABQ AS BOTH ARE EQUAL ]
SO THIS PROVES THAT AB IS THE BISECTOR OF THE GIVEN ANGLES
WHICH YOU ASKED

HENCE PROVED

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Pls. Solve this question in easy way of triangles