Question

Determining Angle Measure Relationships. In triangle RST, MZR > MZS + m2T. Which must be true of triangle RST? Check all that apply.

A) mZR > 90°
B) mZR > MZT
C) MZR > MZS
D) m2S > MZT

Answer 1

In triangle RST, the statements that must be true are B) mZR > MZT and C) MZR > MZS.

Step-by-step explanation:

In triangle RST, the given angle measure relationship is MZR > MZS + m2T. Let's analyze each statement:

A) mZR > 90°: This may or may not be true depending on the given specific angle measures. We can't determine this without further information. So, this statement cannot be concluded.

B) mZR > MZT: This can be true since the given relationship states that MZR is greater than the sum of MZS and m2T.

C) MZR > MZS: This can be true since the given relationship states that MZR is greater than the sum of MZS and m2T.

D) m2S > MZT: This cannot be concluded based on the given relationship. So, this statement cannot be determined.

To summarize, statements B and C must be true of triangle RST.