Question

find the value of x....

Answer 1

BPA=110 (vertically opp angles)

In triangle BAP,
40+110+BAP=180 (ANGLE SUM PROPERTY)

BAP=30
angle BAP=CDP (angle in the same segment)

Thus, x=30

Answer 2

Solution

BPA = 110

(Being vertically opposite angle)

B=40

P= 110

A=x

Then,

x+110+40= 180

(Being sum of three angles of a triangle)

x=180-150

X=30