Question

ABCD is a parallelogram. comput the value of X and Y.




I WANT ANSWER STEP BY STEP ​

Answer 1

Step-by-step explanation:

$in \: figure \: AD || BC \: and \: BD \: is \: a \: transversal \: line$

$28 = 4y(alternate \: interior \: angles)$

$28 = 4y$

$\frac{28}{4} = y$

$7 = y$

$in \: figure$

$10x = 60(alternate \: interior \: angles)$

$x = \frac{60}{10}$

$x = 6$

$there \: fore$

$\huge{x = 6}$

$\huge{y = 7}$

Angle ABD = Angle BDC

10x = 60

Angle CBD = Angle ADB

4y = 28