Question

Find the values of x and y so that ABCD will be a parallelogram.

Answer 1

Given:

Figure of a parallelogram.

To find:

The values of x and y.

Solution:

If two parallel lines intersected by a transversal line, then the alternate interior angles are congruent.

$4x=24$            (Alternate interior angles)

$x=\dfrac{24}{4}$

$x=6$

And,

$y-10=32$            (Alternate interior angles)

$y=32+10$

$y=42$

The value of x is 6 and the value of y is 42.

Therefore, the correct option is C.