Exterior Angles of Triangles Warmup

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

Define 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

What are remote interior angles?

Back

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

Front

If one angle of a triangle is 50° and another is 60°, what is the measure of the third angle?

Back

The third angle is 70°, because 180° - (50° + 60°) = 70°.

Front

What is the relationship between an exterior angle and its remote interior angles?

Back

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

Front

What is an interior angle of a triangle?

Back

An interior angle of a triangle is an angle formed by two sides of the triangle.

Front

If angle d is an exterior angle, what can be said about angles a and b?

Back

Angles a and b are the remote interior angles corresponding to exterior angle d.

Front

Solve for x: If angle A = 40° and angle B = 70°, what is angle C?

Back

Angle C = 70°, because 180° - (40° + 70°) = 70°.

Front

What is the sum of the interior angles of any triangle?

Back

The sum of the interior angles of any triangle is always 180°.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others.