Question

In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply. Determining Angle Measure Relationships A: m∠R > 90° B: m∠S + m∠T m∠T E: m∠R > m∠S F: m∠S > m∠T

Answer 1

Answer:

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

Step-by-step explanation:

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Answer 2

Answer:

B: m∠S + m∠T < m∠R.

Step-by-step explanation:

If in triangle RST, m∠R > m∠S + m∠T, then the following must be true:

A: m∠R > 90°: This is possible but not necessarily true, as m∠R could be greater than 90 degrees, but it could also be less.

B: m∠S + m∠T < m∠R: This is a restatement of the given information, so it must be true.

C: m∠S + m∠T < 90°: This follows from B, since if m∠S + m∠T < m∠R, then it must also be less than 90 degrees.

D: m∠T < m∠R: This is not necessarily true, as m∠T and m∠R could both be greater than 90 degrees.

E: m∠R > m∠S: This is possible but not necessarily true, as m∠R could be greater than m∠S, but it could also be less.

F: m∠S > m∠T: This is possible but not necessarily true, as m∠S could be greater than m∠T, but it could also be less.

So the only answer that must be true is B: m∠S + m∠T < m∠R.

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