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`

Step-by-step 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`