Question

I would like help with this.

Answer 1

The measure of angle T is 135 degrees.

Explanation:

Let's just say the measure of angles T and S are variables t and s.

So the equation would be...

t + s = 180

Since they are supplementary angles, they add up to 180.

Also, we know that t is 3 times s.

t = 3s

Now we can solve this system of equations.

Substitute 3s into t of the first equation.

3s + s = 180

4s = 180

s = 45

Then, since we know that the measure of angle t is 3 times the measure of angle s, we can just multiply 45 by 3 and find the measure of angle t.

45 * 3 = 135

t = 135

So the measure of angle t is 135.