Question

9. In Figure 2.
the bisectors of angle A and B
meet at point P. If angleC = 50°
and angleD = 100° find the
measure of angle APB.

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Answer 1

Answer:

105°

Step-by-step explanation:

Angle C + Angle D = 150°

Therefore, Angle A + Angle B = 210°

Angle APB = Angle A/2 + Angle B/2

= 210°/2

= 105°

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Answer 2

Answer:

75°

Step-by-step explanation:

Sum of the interior angle=

$(s - 2) \times 180$

=4-2×180

=2×180

=360

<A+<B+<C+<D=360

<A+<B+100+50=360

<A+<B=360-150

<A+<B=210

1/2<A+1/2<B=1/2×210

<PAB+<PBA=105

<PAB+<PBA+<APB=180 ( angle sum property of ∆)

150+<APB=180

<APB=75°

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