Question

In a figure ABCD is a parllelogram
angle A= 120degree
if
bisector of angle a and angle b
meet at b
find angle apb



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Answer 1

Answer:

60 degree

Step-by-step explanation:

<APB =60 BY Bisector

<PBA =60 (same)

in ∆APB

by angle sum property

<APB+ <PAB + <PBA =180

<APB =180- 120

<APB =60 Degree

Answer 2

Answer:

angle bisector of 120° is= 60°

angle A and angle C are equal because opposite angles are equal

so in parallelogram total sum of angles is=360°

360°=120+120+X+X

360°=240+2X

360°-240°=2X

120°=2X

X=60°

Angle C=60°

angle bisector of 60°=30°

ABP FORMS A TRIANGLE

so,

180°=30°+60°+X

90°=X

So angle APB=90°