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

Answer:

$x=15$

Step-by-step 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.