Angle Sum Triangle Inequality Theorems

Will the following three angles for a triangle?

30°, 60°, 90°

• yes

• no

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

• 45°, 65°, 70°

• 150°, 110°, 100°

• 50°, 50°, 50°

• 90°, 90°, 90°

A triangle has one angle that measure 81° and one that measures 37°. What is the measure of the third angle?

• 62°

• 76°

• 118°

• 99°

The lengths of two sides of a triangle are 7mm and 4 mm. Select all the possible lengths for the third side.

• 11

• 4

• 3

• 10

• 8

Three line segments have measures of 12 cm, 7 cm, and 5 cm. Will the segments form a triangle?

• Yes

• No

Determine the value of EACH ANGLE.

• Angle A = 82, Angle B = 67, and Angle C = 41

• Angle A = 82, Angle B = 57, and Angle C = 41

• Angle A = 82, Angle B = 67, and Angle C = 31

• Angle A = 42, Angle B = 57, and Angle C = 41

Three line segments have measures of 9 cm, 5 cm, and 6 cm. Will the segments form a triangle?

• Yes

• No

A triangle has two angles that are 65 degrees and 50 degrees. What must the third angle be?

• 65

• 75

• 25

• 60

Is it possible to draw a triangle with the following angle measures: 80 degrees, 35 degrees, 55 degrees?

• Yes

• No

Find the missing angle.

• 29° 

• 39° 

• 49° 

• 59°