Answer:
[tex]x=15[/tex]
Step-by-step explanation:
We know that the sum of Angle S and Angle T is 120. So:
[tex]\angle S+\angle T=120[/tex]
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:
[tex](4x+30)+(30)=120[/tex]
Combine like terms:
[tex]4x+60=120[/tex]
Subtract 60 from both sides:
[tex]4x=60[/tex]
Divide both sides by 4:
[tex]x=15[/tex]
Hence, the value of x is 15.
