4.1 HW - Triangle Sum Theorem

Front

What is the Triangle Sum Theorem?

Back

The Triangle 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 75 degrees and another is 45 degrees, what is the measure of the third angle?

Back

The third angle measures 60 degrees (180 - 75 - 45 = 60).

Front

What is the measure of angle A if angle B is 50 degrees and angle C is 70 degrees?

Back

Angle A measures 60 degrees (180 - 50 - 70 = 60).

Front

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

Back

To find an unknown angle, 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 is 30 degrees and angle B is 60 degrees, what is angle C?

Back

Angle C measures 90 degrees (180 - 30 - 60 = 90).

Front

What is the measure of angle A if angle B is 25 degrees and angle C is 85 degrees?

Back

Angle A measures 70 degrees (180 - 25 - 85 = 70).

Front

If angle A is 40 degrees and angle B is 70 degrees, what is angle C?

Back

Angle C measures 70 degrees (180 - 40 - 70 = 70).

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 is 90 degrees, what can you say about angles B and C?

Back

Angles B and C must sum to 90 degrees since the total must equal 180 degrees.