Question

11. Find all the values of variables using following parallelogram​

Answer 1

$\huge\mathcal{Answer࿐ }$

$⇒120°+(5x+10)∘=180°$

$⇒5x+10°+120∘=180°$

$⇒5x=180°−130°$

$⇒5x=50°$

$⇒x=10°$

$⇒6y=120°$

$⇒y=20°$

Answer 2

Answer:

x = 80°

y = 100°

z = 80°

Step-by-step explanation:

Since ABCD is a parallelogram,

y = < ABC ( opp. angles are equal )

AD || BC and AB is it's transversal,

z + < ABC = 180° ( Adjacent angle sum = 180°)

z = 180°- 100°

z = 80°

z = x (opp. angles in a parallelogram are equal)

x = 80°