Question

Find the measure of angle CBA.

Answer 1

101°

Explanation:

We are given a figure with a triangle with one known angle and two angles with variables and we are to find the measure of angle CBA.

We know that the sum of all three angles of a triangle is 180°.

So adding up the given values and putting them equal to 180 to solve for x:

`(4x+7)+(11x-9)+32=180`

`4x+11x+7-9+32=180`

`15x+30=180`

`15x=150`

`x=10`

Therefore, the measure of angle CBA will be =
`=(11x-9)`°

`=(11(10)-9) =` 101°