Question

given figure, ABCD is a parallelogram. Find the angle measures x, y and z​

Answer 1

Answer:

<x=80°,<y=100°,<z=80°

Step-by-step explanation:

ABCD is a ||gm

AB||CD,AD||BC

and AD and BC are transversal

∴<ABC+<BCD=180°

⇒100°+<BCD=180°

⇒<BCD=180°-100°

⇒<BCD=80° = X

NOW WE KNOW THAT

<ABC=<ADC

<BCD=<BAD

In ||gm opposite angles are equal

∴

<ABC=<ADC

⇒100°= <ADC = Y

AND

<BCD=<BAD

⇒80°=<BAD = Z