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ICSE Class 8 Answered

In the adjacent figure, the bisectors of angle A & angle B meet in a point P. If angle C=100° & angle D=60°,Find the measure of angle APB. 
question image
Asked by Cl_narayan | 14 Jul, 2019, 08:43: AM
answered-by-expert Expert Answer

begin mathsize 16px style angle straight A space plus space angle straight B space plus space angle straight C space plus space angle straight D space equals space 360 degree space space space.... space Sum space of space all space the space angles space of space straight a space Quadrilateral space are space 360 degree.
rightwards double arrow space angle straight A space plus angle straight B space plus space 100 degree space plus space 60 degree space equals space 360 degree space
rightwards double arrow angle straight A space plus space angle straight B space space equals space 360 degree space minus space 160 degree space
rightwards double arrow angle space straight A space plus space angle straight B space equals space 200 degree space space
space rightwards double arrow 1 half angle space straight A space plus space 1 half angle straight B space equals space 100 degree space space... space AP space and space PB space are space the space bisectors space of space angle BAD space and space angle ABC
rightwards double arrow angle PAB space plus space angle PBA space equals space 100 degree space space space.... space left parenthesis 1 right parenthesis
In space increment APB comma
angle PAB space plus space angle PBA space plus space angle space APB space equals space 180 degree space space
rightwards double arrow 100 degree space plus space angle space APB space equals space 180 degree space space... space from space left parenthesis 1 right parenthesis
rightwards double arrow angle space APB space equals 180 degree space minus space space 100 degree equals space 80 degree end style

Answered by Yasmeen Khan | 15 Jul, 2019, 11:40: AM
ICSE 8 - Maths
Asked by ancymadhavan79 | 26 Jun, 2019, 11:00: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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