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.
