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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

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 Ox6 Y 42 X 20 Y 22 class=

Sagot :

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.

[tex]4x=24[/tex]            (Alternate interior angles)

[tex]x=\dfrac{24}{4}[/tex]

[tex]x=6[/tex]

And,

[tex]y-10=32[/tex]            (Alternate interior angles)

[tex]y=32+10[/tex]

[tex]y=42[/tex]

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

Therefore, the correct option is C.

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