How do you use interior angles to find unknown angle measures?

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How do you use interior angles to find unknown angle measures?

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How do you use interior angles to find unknown angle measures?

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How do you use interior angles to find unknown angle measures?

For Example

What is the measure of angle x?

120o

x

In this lesson you will learn to solve for unknown angle measures by using consecutive interior angles.

Supplementary angles are two angles whose sum is 180o.

150o

30o

150o + 30o =180o

Consecutive Interior Angles are on the same side of the line.

Correct

Wrong

x

x

y

y

z

w

x

y

A pair of intersecting lines creates 2 pairs of equal vertical angles and 4 pairs of supplementary angles.

Angles w and y are vertical and angles x and z are vertical angles.

The supplementary angle pairs are angles w and x, angles x and y, angles y and z, and angles z and w.

A Street intersects 1st and 2nd Streets. A Street needs to be repaved. In order to complete the project, the town needs to know the angle measure for the intersection marked x. If they know that one intersection is 100o, what is the measure of the intersection marked x?

A St.

1st St.

x

100o

2nd St.

A St.

1st St.

x

100o

2nd St.

A pair of parallel lines being crossed by a third line creates interior angles.

Interior angles on the same side of the line are called consecutive interior angles. They add to 180o.

100o + x = 180o

-100o -100o

x = 80o

In this lesson you have learned to solve for unknown angles by using consecutive interior angles.

Find the measure of angle x using the picture below.

135o

x

- John looked at the diagram below and stated that the measure of angle x should be 120o since
- 120o + 60o = 180o. Is John correct? Explain your reasoning.

135o

x

- Two consecutive interior angles measure xoand (x – 20)o. Find the actual measures of the angles.

Find the measure of angle x based on the diagram below.

145o

x

Two angles are consecutive interior angles. If one angle measures 103o, what is the measure of the second angle?