in the adjoining figure , the bisectors of angle A nd angle B meet at point P . If the angle c = 100 degree and d = 50 degree , find the me

Question

in the adjoining figure , the bisectors of angle A nd angle B meet at point P . If the angle c = 100 degree and d = 50 degree , find the measure of angle APB

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Allison 3 months 2021-11-06T16:26:42+00:00 2 Answers 0 views 0

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    0
    2021-11-06T16:27:50+00:00

    Answer:

    click the picture of figure for solution

    and what is the name of the chapter

    0
    2021-11-06T16:28:36+00:00

    Answer:

    In quadilateral ABCD,LET angle PAB=PAD=x,angle PBA=PBC=y;

    angle A+angle B+angle C+angle D=360

    angle PAD +angle PAB +angle PBA +angle PBC+angle C+angle D=360

    x+x+y+y+100+60=360

    2(x+y)+160=360

    2(x+y)=360-160

    2(x+y)=200

    x+y=200/2

    x+y=100

    Now in triangle PAB;

    angle PAB+angle PBA+angle APB=180

    x+y+ angle P=180

    100+angle P=180 (Since x+y=100)

    angle P=180-100

    angle P=80

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