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

Question

asked Nov 2, 2022 223k views

1 Answer

Mike Mazur · Answer 1 · 2022-11-09T03:05:46+0000

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.