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The opposite angles of a parallelogram have measures of (3x-20) and (x+15). Find x

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ANSWER

The value of x is,

[tex]17.5[/tex]

EXPLANATION

We were given that the opposite angles of a parallelogram are

[tex]3x - 20[/tex] and [tex]x + 15[/tex].

The opposite angles of a parallelogram are equal.

We can write the equation below in x and use to find the value of x.

[tex]3x - 20 = x + 15[/tex]

We group like terms to obtain,

[tex]3x - x = 15 + 20[/tex]

This implies that,

[tex]2x = 35[/tex]

We divide both sides of the equation by 2 to obtain,

[tex]x = 17.5[/tex]

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