Question

in the figure PC and PD are the bisectors of angle BCD and angle ADC respectively if angle a = 100 find Angle B GIVE THE SOLUTION STEP BY STEP

Answer 1

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

Answer 2

Answer:

Step-by-step explanation:

Since PC and PD are bisectors,

 angle ADC = 50 degrees [ since a Bisector divides the angle into two equal parts ]

angle BCD = 60 degrees

(30 x2)

 4 sides  =  360 degrees .

 100+60+50= 210.

So angle B

 = 360-210

 = 150 degree