Question

equal. Find the measure of each of these equal angles.
In the adjacent figure, the bisectors of angle A and angle
B meet in a point P.
If angle C = 100° and 2D = 60°, find the measure of APB angle​

Answer 1

Answer:

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Step-by-step explanation:

AB∥CD

∠B+∠C=180

∠B=180−100=80

∠PBC+∠PBA=80

2∠PBC=80

∠PBC=40

∠A+∠D=180

∠A=180−60=120

2∠PAB=120

∠PAB=120/2=60

In △PAB,∠PAB+∠ABP+∠BPA=180

60+∠APB+40=180

∠APB=180−100

∠APB=80

∴∠APB=80