Exploring Missing Angles in Triangles

What is the sum of all angles in a triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

If a triangle has angles of 86 degrees and 33 degrees, what is the measure of the third angle?

• 61 degrees

• 71 degrees

• 81 degrees

• 91 degrees

Can a triangle have angles measuring 54 degrees, 23 degrees, and 103 degrees?

• Only if it is an isosceles triangle

• No

• Yes

• Only if it is a right triangle

How many different triangles can be made with angles 54 degrees, 23 degrees, and 103 degrees?

• One

• Two

• Three

• Infinite

If the angles in a triangle are 50 degrees, 79 degrees, and 34 degrees, what is the missing angle measure?

• 37 degrees

• 27 degrees

• 47 degrees

• 17 degrees

What is the measure of angle A if angle B is 40 degrees and they are complementary?

• 70 degrees

• 60 degrees

• 50 degrees

• 40 degrees

What does the triangle inequality theorem state?

• The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

• The sum of the lengths of any two sides of a triangle is equal to the length of the third side.

• The sum of the lengths of any two sides of a triangle is not related to the length of the third side.

• The sum of the lengths of any two sides of a triangle is less than the length of the third side.

Can a triangle be constructed with sides measuring 5 inches, 8 inches, and 15 inches?

• Only if it is a right triangle

• Yes

• Only if it is an equilateral triangle

• No

If two sides of a triangle are 5 cm and 8 cm, which of the following cannot be the length of the third side?

• 10 cm

• 11 cm

• 12 cm

• 13 cm

What is the range of possible measures for the third side of a triangle with sides 15 cm and 8 cm?

• Greater than 7 and less than 23

• Greater than 8 and less than 22

• Greater than 9 and less than 21

• Greater than 10 and less than 20