Question

The measure of ∠ABD is (0.18x+56)° and the measure of ∠CBD is (0.07x+46)°. Find the value of x.

Answer 1

x = 312

Explanation:

We know that ∠ABD and ∠CBD are supplementary, meaning their measures add up to 180°. We can use this knowledge to put both measures into an equation.

`(0.18x+56) + (0.07x+46)= 180`

Simplify.

`0.18x+56 + 0.07x+46= 180`

Simplify.

`0.25x + 102 = 180`

Subtract 102.

`0.25x = 180 - 102`

Simplify.

`0.25x = 78`

Divide by 0.25

`x = (78)/(0.25)`

Simplify.

`x = 312`