Question

In the adjacent figure AB||CD. Find the values of x, y and z.

Answer 1

Hola Sir!!

Your answer :-

a) To find x°

=> Angle E = x° + x° + 70°

=> Angle E = 180° ( linear pair )

=> x° + x° + 70° = 180°

=> 2x° + 70° = 180°

=> 2x° = 180° - 70°

=> 2x° = 110°

=> x° = 110°/2

=> x° = 55°

In Triangle APE

b) To find y°

=> Angle A + Angle P + Angle AEP = 180° ( sum of 3 angles of a triangle = 180° )

=> 90° + y° + 55° = 180°

=> 145° + y° = 180°

=> y° = 180° - 145°

=> y° = 35°

c) To find z°

=> z° + x° = 180° ( co - interior )

=> z° + 55° = 180°

=> z° = 180° - 55°

=> z° = 125°

Hence, x° = 55°, y° = 35°, z° = 125°

☆ Hope it helps ☆

Answer 2

Answer:

Step-by-step explanation: