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Maths-

General

Easy

Question

In a Quadrilateral ABCD, bisectors of $angle A blank a n d blank angle B$ meet at a point P. If $angle C equals$ 100º and $angle D equals 50 to the power of ring operator end exponent$ then measure of $angle A P B equals ?$

65º
75º
85º
100º

The correct answer is: 75º

We should find $angle A P B$
$angle A plus angle B plus angle C plus angle D equals 360 space space space space angle A plus angle B plus 100 plus 50 space equals 360 space space space space angle A plus angle B equals 210 space space space space I n space triangle A P B space w e space h a v e space 2 space 1 space space space angle A plus space space 2 space 1 space space space angle B plus angle A P B equals 180 space space angle A P B equals 180 space minus space space 2 space 1 space space space angle A P B equals 180 space minus left parenthesis space space 2 space 1 cross times 210 space right parenthesis equals 75 to the power of 0$

Hence option 2 is correct

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