Triangle Sum and Remote Exterior Angle Theorems

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

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

Back

It is a right triangle.

Front

What is the measure of the third angle in a triangle if the first two angles are 30° and 60°?

Back

90°

Front

What is an exterior angle of a triangle?

Back

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

Front

What does the Remote Exterior Angle Theorem state?

Back

The Remote Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles.

Front

If two angles of a triangle are 45° and 45°, what is the third angle?

Back

90°

Front

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

Back

Corresponding angles are equal.

Front

How do you find the measure of an unknown angle in a triangle?

Back

Subtract the sum of the known angles from 180°.

Front

What is the value of x if the angles in a triangle are x, 50°, and 60°?

Back

x = 70°.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect, and they are always equal.