Question

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

24°
(y – 10°
32°
(4x)
x = 20, y = 42
x = 6, y = 22
Ox=6, y = 42
x = 20, y = 22

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=(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.