Question

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Question No. 9​

Answer 1

Step-by-step explanation:

Given :- Angle C = 100 degree and Angle D = 50 degree

Given :- Angle C = 100 degree and Angle D = 50 degree

Given :- Angle C = 100 degree and Angle D = 50 degree To find :- Measure of Angle P

Given :- Angle C = 100 degree and Angle D = 50 degree To find :- Measure of Angle PSol :-

We know that Measures of sum all angle of Quadrilateral is equal to 360 degree

Angle C = 100 degree ( Given )

Angle D = 50 degree ( -- )

Angles ( A + B + C + D = 360 )

150 + A + B = 360

A + B = 210 ------------ (I)

Now , In Triangle APB

A + B = 210 ------- ( From I )

Now Bisector of Angle A and B is dividing it ..

Therefore ..

A + B = 210/2 ( For Angle of Triangle APB )

A + B = 105 ------- ( From II )

Now ,

A + B + P = 180 ---- ( Measures of Angle of Triangle )

105 + P = 180

P = 75 Degree

Therefore Angle APB = 75 Degree