Ordering Angles from the Sides

Given: △RST  and RS = 14 in.,  ST = 10 in., TR = 16 in.
List the interior angles of △RST in order from smallest to largest.

• R, S, T
• S, T, R
• R, T, S
• T, S, R

• ∠R, ∠S, ∠T

• ∠R, ∠T, ∠S

• ∠S, ∠T, ∠R

• ∠T, ∠S, ∠R

TriangleABC has AB= 13, BC= 9, and AC= 10. Which of the following inequalities is correct?

• m∠A > m∠B > m∠C

• m∠B > m∠C > m∠A

• m∠C > m∠B > m∠A

• m∠A > m∠C > m∠B

In which of the following triangles is ∠K the smallest angle?

• 
• 
• 
• 

Triangle GHI has a perimeter of 42 inches. GH= 15 inches and HI= 11 inches. List the angles of from smallest to largest.

• ∠G, ∠H, ∠I

• ∠I, ∠H, ∠G

• ∠H, ∠I, ∠G

• ∠G, ∠I, ∠H

Triangle ABC has a perimeter of 100. AB = 2x + 7, BC = 3x-1, and AC = 4x - 5. Which represents the correct inequality?

• m∠A < m∠B < m∠C

• m∠C < m∠A < m∠B

• m∠A < m∠B < m∠C

• m∠A < m∠B < m∠C

Triangle ABC has vertices A(-2,2), B(-1,-3), and C(4,0). List the angles from largest to smallest.

• ∠B, ∠A, ∠C

• ∠C, ∠A, ∠B

• ∠B, ∠C, ∠A

• ∠C, ∠B, ∠A

Name the angles from SMALLEST to LARGEST

• Q, R, P
• P, Q, R
• R, P, Q
• R, Q, P

In a game of football, Terrell attempted a tackle on Patrick. The distance between Terrell’s foot (T) and the ball (P) was 8 feet. The distance between the ball (P) and the ground (G) was 6 feet. If the length between Terrell’s foot (T) to Patrick’s foot (G) was 5 feet, which represents the measures of the angles from the greatest to least?

• ∠P, ∠G, ∠T

• ∠T, ∠G, ∠P

• ∠G, ∠T, ∠P

• ∠T, ∠P, ∠G

Three lookout towers are located at points A, B, and C on the section of the park in the drawing.

• m∠A is least

• m∠A is greatest

• m∠C is least

• m∠C is greatest