Angle relationships

Front

What is the definition of alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines it intersects.

Front

If two angles are supplementary, what is the sum of their measures?

Back

The sum of the measures of two supplementary angles is 180°.

Front

What is the measure of an angle if it is complementary to a 70° angle?

Back

The measure of the angle is 20° because complementary angles sum to 90°.

Front

Define vertical angles.

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

If ∠A and ∠B are supplementary and ∠A measures 45°, what is the measure of ∠B?

Back

∠B measures 135° because 180° - 45° = 135°.

Front

What is the measure of an angle if it is the exterior angle of a triangle and the two remote interior angles measure 30° and 50°?

Back

The exterior angle measures 80° because it is equal to the sum of the two remote interior angles.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.

Front

How do you find the value of x in an equation involving angles?

Back

Set up an equation based on the relationships between the angles and solve for x.

Front

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

Back

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