Question

in the figure ab//cd find x​

Answer 1

Answer:

x = 18 degrees

Step-by-step explanation:

Since lines are parallel,

Angle PBA = Angle BDC (Corresponding angles are equal)

Therefore, Angle BDC = Angle DCQ + Angle DQC (Exterior angle = Sum of interior opposite angles)

              =>   88 degrees = 70 degrees + x

             => x = 88 - 70 = 18 degrees.

Thanks!

Answer 2

Answer:

x=18

Step-by-step explanation:

ABP∡=88

ABP∡=BDC∡=88  {corresponding angles}

BDC∡+CDQ∡=180 {angles on a straight line}

CDQ∡=180-88=92

CDQ∡+DQC∡+QCD∡=180 {angles in a triangle}

92+x+70=180

x=180-(92+70)

x=180-162

x=18