Question

For a parallelogram ABCD, find the values of x and y.​

Answer 1

Step-by-step explanation:

ABCD is a parallelogram, with diagonals AC and BD intersect at point O.

ABCD is a parallelogram, with diagonals AC and BD intersect at point O.⇒ ∠A+∠B=180 °

[ Sum of adjacent angles are supplementary in parallel ]

[ Sum of adjacent angles are supplementary in parallel ]⇒ 110 ° +(40 °+x)=180 °

⇒ 150 ° +x=180 °

⇒ x=30 °

In △OBC,

In △OBC,⇒ ∠OBC+∠BCO+∠COB=180 °

⇒ x+50 °+y=180 °

⇒ 30 °+50 °+y=180 °

⇒ 80 °+y=180 °

∴ y=100 °

∴ x=30 °

,y=100°