Question

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

Answer 1

ANSWER

The value of x is,

$17.5$

EXPLANATION

We were given that the opposite angles of a parallelogram are

$3x - 20$ and $x + 15$.

The opposite angles of a parallelogram are equal.

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

$3x - 20 = x + 15$

We group like terms to obtain,

$3x - x = 15 + 20$

This implies that,

$2x = 35$

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

$x = 17.5$