Angles in a Triangle

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of all angles in a triangle is 180°.

Front

What is the largest angle in a triangle?

Back

The largest angle in a triangle is opposite the longest side.

Front

If two angles in a triangle are 34° and 70°, what is the measure of the third angle?

Back

The third angle is 76° (180° - 34° - 70°).

Front

Can a triangle have angles measuring 120°, 50°, and 20°?

Back

No, because the sum of these angles is 190°, which exceeds 180°.

Front

What are the possible angle measures for a triangle?

Back

The measures must be positive and their sum must equal 180°.

Front

If one angle of a triangle is 90°, what type of triangle is it?

Back

It is a right triangle.

Front

What is the measure of the missing angle if the other two angles are 60° and 60°?

Back

The missing angle is 60°.

Front

If a triangle has angles measuring 40°, 50°, and 90°, what type of triangle is it?

Back

It is a right triangle.

Front

What is the relationship between the sides and angles of a triangle?

Back

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

If angle A is 34° and angle B is 84°, what is angle C?

Back

Angle C is 62° (180° - 34° - 84°).