omotomiwaprecious omotomiwaprecious

14-04-2019
Mathematics

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

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jimrgrant1 jimrgrant1

14-04-2019

Answer:

∠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°

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