Triangle Angle Sum and Triangle Exterior Angle

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 are the interior angles of a triangle?

Back

The interior angles of a triangle are the angles formed inside the triangle, which add up to 180°.

Front

Define remote interior angles in relation to an exterior angle.

Back

Remote interior angles are the two interior angles of a triangle that are not adjacent to a given exterior angle.

Front

If one angle of a triangle is 90°, what can you say about the other two angles?

Back

The other two angles must add up to 90° because the sum of all angles in a triangle is 180°.

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side.

Front

How do you calculate the measure of an exterior angle?

Back

The measure of an exterior angle is equal to the sum of the measures of the two remote interior angles.

Front

If angle A = 50° and angle B = 60°, what is angle C in triangle ABC?

Back

Angle C = 180° - (50° + 60°) = 70°.

Front

What is the relationship between the angles of a triangle and its exterior angles?

Back

Each exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Front

How can you find the value of x in a triangle if given two angles?

Back

You can find x by using the Triangle Sum Theorem: x = 180° - (sum of the given angles).

Front

What is the formula for finding the sum of angles in a triangle?

Back

The formula is: Angle 1 + Angle 2 + Angle 3 = 180°.