Question

two straight lines AB and CD intersect at point P. If angle BPC =4x -5° and angle APD =3x +15°, find the value of x​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

AB and CD intersect at B

hence, angle APD and angle BPC are a pair of vertically opposite angles.

Vertically opposite angles are always equal.

Hence,

angle APD = angle BPC

3x + 15° = 4x - 5 °

15° + 5° = 4x - 3x

20° = x

x = 20°