Transversals and Angles of Triangles

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more other lines at distinct points.

Front

What are alternate interior angles?

Back

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

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 degrees.

Front

If two angles are complementary, what is their sum?

Back

The sum of two complementary angles is 90 degrees.

Front

If the ratio of the interior angles of a triangle is 3:5:7, how do you find the angle measures?

Back

Let the angles be 3x, 5x, and 7x. Set up the equation 3x + 5x + 7x = 180 to solve for x.

Front

What is the measure of an angle if it is supplementary to a 74-degree angle?

Back

The measure of the angle is 180 - 74 = 106 degrees.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two different lines cut by a transversal.

Front

What is the relationship between alternate exterior angles?

Back

Alternate exterior angles are equal when the lines are parallel.

Front

How do you calculate the measure of an angle in a triangle if two angles are known?

Back

Subtract the sum of the known angles from 180 degrees.

Front

What is the measure of angle B if angle A is 62 degrees and angle C is 56 degrees?

Back

Angle B = 180 - (62 + 56) = 62 degrees.