Unique Triangles and Angles

How many triangles exist with the given angle measures?  55°, 45°, 90°

• No triangle exists
• Exactly one unique triangle exists
• More than one triangle exists

What is the missing angle?

• 90°
• 87°
• 80°
• 88°

How many triangles exist with the following angle measures?
80°, 50°, 50°

• No triangle exists with the given angle measures.
• More than one unique triangle exists with the given angle measures.
• Exactly one unique triangle exists with the given angle measures.

Does a triangle with these side lengths exist?
33, 16, 17

• Yes
• No
• I don't know.

Find the missing angle.

• 29° 
• 39° 
• 49° 
• 59° 

Which set of side lengths will make a triangle?

• 6, 8, 13
• 7, 9, 18
• 7, 7, 14
• 2, 6, 9

Which set of side lengths will NOT make a triangle?

• 3, 4, 5
• 1, 3, 4
•  3, 5, 7
• 2, 8, 9

A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

• acute triangle
• right triangle
• obtuse triangle
• none of the above

If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...

• 80
• 100
• 60
• 90

Which of these lengths CANNOT represent the sides of a triangle?

• 32, 34, 60

• 28, 30, 58

• 13, 20, 27

• 2, 4, 5