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 whose non-common sides form a straight line. The sum of the angles in a linear pair is always 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 form a linear pair and one angle measures 140 degrees, what is the measure of the other angle?

Back

The other angle measures 40 degrees, since the sum of angles in a linear pair is 180 degrees (180 - 140 = 40).

Front

What is the measure of a right angle?

Back

A right angle measures 90 degrees.

Front

If one angle is 160 degrees, what is the measure of its vertical angle?

Back

The vertical angle also measures 160 degrees, as vertical angles are equal.

Front

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

Back

To find the value of x, set up an equation based on the relationships between the angles (e.g., linear pairs, vertical angles) and solve for x.

Front

What is the relationship between complementary angles?

Back

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

Front

What is the relationship between supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If angle A is 20 degrees, what is the measure of its supplementary angle?

Back

The supplementary angle measures 160 degrees (180 - 20 = 160).

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.