Question

The sum of the measures of angle S and angle Tis 120°

The measure of angle Sis (4x + 30)
The measure of angle Tis 30°.
What is the value of x ?

Answer 1

`x=15`

Explanation:

We know that the sum of Angle S and Angle T is 120. So:

`\angle S+\angle T=120`

The measure of Angle S is (4x + 30).

And the measure of Angle T is (30).

We want to find the value of x.

By substitution:

`(4x+30)+(30)=120`

Combine like terms:

`4x+60=120`

Subtract 60 from both sides:

`4x=60`

Divide both sides by 4:

`x=15`

Hence, the value of x is 15.