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chikafujiwara

Answer:

The measure of angle T is 135 degrees.

Step-by-step 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.

*Just copied from my previous answer, don't know why you needed it again but here you go.

roddabella

The best way to solve this is to write an equation. If supplementary then we know it must add up to 180 degrees. The variable could be x.

So we know that angle T is 3 times angle S, the equation would look something like this:

3x + x = 180 (then solve for x)

4x = 180

180/4 =45

x = 45

So now we know that angle S is 45 degrees, but the question is asking for angle T, since that angle is 3x angle S, simply multiply by 3 and the answer is:

angle T= 135 degrees.

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