111204
AssignmentMultiple Select

Lesson 2: Triangles and Their Side Lengths

Question 111204 • AZ-Geometry A (MA201)

In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.m∠R > 90°m∠S + m∠T m∠Tm∠R > m∠S m∠S > m∠T

Answer
A
m∠R > 90°
B
m∠S + m∠T < 90°
C
m∠S = m∠T
D
m∠R > m∠T
E
m∠R > m∠S
F
m∠S > m∠T

Explanation

The angles in a triangle add to 180°, so m∠S + m∠T = 180° − m∠R. Since m∠R is greater than m∠S + m∠T, it must be greater than half of 180°, or 90°; this gives A. Also, m∠S + m∠T is less than 90°, giving B. Because both other angles are positive, their sum is greater than either one individually, so m∠R is greater than both m∠S and m∠T, giving D and E.

AI-written and checked against the verified answer.

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