3. In the given figure, the
bisectors of ZA and B meet in
a point P. If PAB = 30° and
ZPBA = 50° , find the measure
of _ ADC + _ BCD. *
=
-
D
Р
30
50
A
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the figure, the bisectors of ∠A and ∠B meet at a point P. If ∠C=100
o
and ∠D=50
o
, find the measure of ∠APB
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we have
∠A+∠B+∠C+∠D=360
o
∠A+∠B+100
o
+50
o
=360
o
∠A+∠B=210
o
In △APB we have
2
1
∠A+
2
1
∠B+∠APB=180
o
∠APB=180
o
−
2
1
(∠A+∠B)
∠APB=180
o
−(
2
1
×210
o
)=75
o
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