In the figure, the bisectors of angle A and angle B meet a point P. if angle C=100 degree and angle D=60 degree , find the measure of angle APB
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In Triangle ABC,
ext. angle= (Angle A)-(Angle C) [since, ext.angle=angle opposite to it]
Angle D = A-100
60 =A-100
A=100-60 =》 30
A=30 , C=100,B=?
we know,
(A+B+C)=180 [Angle sum property]
180-130=B
50=B
In ABP,
APB= 90°+1/2(A)
=》45°+1×30°
=》 75°.
ext. angle= (Angle A)-(Angle C) [since, ext.angle=angle opposite to it]
Angle D = A-100
60 =A-100
A=100-60 =》 30
A=30 , C=100,B=?
we know,
(A+B+C)=180 [Angle sum property]
180-130=B
50=B
In ABP,
APB= 90°+1/2(A)
=》45°+1×30°
=》 75°.
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