Linear Pairs and Vertical Angles Find X

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles that form a straight line, meaning their measures add up to 180 degrees.

Front

What are vertical angles?

Back

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

Front

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

Back

The sum of the measures of two complementary angles is 90 degrees.

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 degrees.

Front

What type of angle is 90 degrees?

Back

A 90-degree angle is called a right angle.

Front

If m∠1 = 30°, what is m∠2 if ∠1 and ∠2 are a linear pair?

Back

m∠2 = 150° because linear pairs sum to 180°.

Front

What is the measure of vertical angles if m∠3 = 60°?

Back

m∠4 = 60° because vertical angles are equal.

Front

Find x if m∠A + m∠B = 180° and m∠A = 118°.

Back

x = 62°.

Front

What is an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.

Front

What is an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.