Question

Suppose you know that <T and<S are supplementary, and that m<T=3(m<S). How can you find m<T?​

Answer 1

To find the measure of angle T, set up the equation x + 3x = 180, solve for x to get 45 degrees, and multiply by 3 to find that m

Step-by-step explanation:

To find the measure of angle T (m<T), given that angles T and S are supplementary and that m<T = 3(m<S), you can use the fact that supplementary angles add up to 180 degrees. Let x be the measure of angle S. Therefore, the equation can be set up as x + 3x = 180.

Solve for x to find:

• 4x = 180
• x = 180 / 4
• x = 45 degrees

Now that we have m<S, calculate m<T:

• m<T = 3x
• m<T = 3(45)
• m<T = 135 degrees

Thus, the measure of angle T is 135 degrees.

Answer 2

∠T = 135°

Step-by-step explanation:

Supplementary angles sum to 180°, thus

∠T + ∠S = 180

However, ∠T = 3∠S, hence

3∠S + ∠S = 180

4∠S = 180 ( divide both sides by 4 )

∠S = 45°, hence

∠T = 180° - 45° = 135°