Triangle Interior Sum Theorem

Front

What is the Triangle Interior Sum Theorem?

Back

The Triangle Interior Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 90 degrees, what are the possible measures of the other two angles?

Back

The other two angles must sum to 90 degrees, as the total must equal 180 degrees.

Front

What is the measure of the third angle if two angles of a triangle are 65 degrees and 40 degrees?

Back

The third angle is 75 degrees (180 - 65 - 40 = 75).

Front

How do you find the measure of an unknown angle in a triangle?

Back

Subtract the sum of the known angles from 180 degrees.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle is 90 degrees, and the sum of the other two angles is 90 degrees.

Front

If angle A = 34 degrees and angle B = 46 degrees, what is angle C?

Back

Angle C = 100 degrees (180 - 34 - 46 = 100).

Front

What is the formula to calculate the sum of angles in a triangle?

Back

The formula is: Angle A + Angle B + Angle C = 180 degrees.

Front

If angle A = 39 degrees and angle B = 87 degrees, what is angle C?

Back

Angle C = 54 degrees (180 - 39 - 87 = 54).

Front

What is the measure of angle x if angle x + 44 degrees + 36 degrees = 180 degrees?

Back

Angle x = 100 degrees (180 - 44 - 36 = 100).

Front

What is the measure of angle x if angle x + 63 degrees + 16 degrees = 180 degrees?

Back

Angle x = 101 degrees (180 - 63 - 16 = 101).