Question

Pc and pd are the bisectors of angle BCD and angle ADC respectively. If angle A = 100 degree, find angle B.

Answer 1

Answer:

Since PC and PD are bisectors,

Therefore angle ADC = 50 degrees ( since a Bisector divides the angle into two equal parts)

And angle BCD = 60 degrees ( 30 x2)

Now the sum of 4 sides of a four sided polygon is 360 degrees .

Therefore , we know 3 angles and their sum is

100+60+50= 210.

So angle B= 360-210= 150 degrees