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Find the values of X and Y in the parallelogram.

Find The Values Of X And Y In The Parallelogram class=

Sagot :

Medunno13

Answer: x=-5, y=20

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so AB=CD.

[tex]x^{2}-15=-2x\\x^{2}+2x-15=0\\(x+5)(x-3)=0\\x=-5, 3[/tex]

But as distance must be positive, as CD=-2x, x must be negative, so x=-5.

Opposite angles of a parallelogram are congruent, so [tex]m\angle D=m\angle B[/tex].

[tex]4y+26=106\\4y=80\\y=20[/tex]

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