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# Geometry - PowerPoint PPT Presentation

Geometry. 1.4 Angles and Their Measure. Angles. An angle consists of two different rays that have the same initial point. The rays are the sides of the angle. The initial point is the vertex of the angle. Naming Angles. Name the angles in the figure.

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## PowerPoint Slideshow about 'Geometry' - clarke

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Presentation Transcript

### Geometry

1.4 Angles and Their Measure

An angleconsists of two different rays that have the same initial point. The rays are the sides of the angle. The initial point is the vertex of the angle.

• Name the angles in the figure

The measure of an angle can be approximated with a protractor, using units called degrees.Let’s try measuring some….

Congruent Angles protractor, using units called degrees.

Angles that have the same measure are called congruent angles.

Interior vs Exterior protractor, using units called degrees.

A point is in the interior of an angle if it is between points that lie on each side of the angle

A point is in the exterior of an angle if it is not on the angle or in its interior.

Name the Interior and Exterior protractor, using units called degrees.Points

Angle Addition Postulate protractor, using units called degrees.

If B is in the interior of AOC, then

Thus, the measure of the bigger angle is the sum of the measure of the two smaller ones

A lawn is watered by a sprinkler that has two fixed spray heads that each spray water in a fan shape. The angle that determines each of the fan shapes is 120. The shaded area in the diagram shows where the two fan shapes overlap. Find the measure of angle 2

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Classifying Angles heads that each spray water in a fan shape. The angle that determines each of the fan shapes is 120. The shaded area in the diagram shows where the two fan shapes overlap. Find the measure of angle 2

Plot the following Points heads that each spray water in a fan shape. The angle that determines each of the fan shapes is 120. The shaded area in the diagram shows where the two fan shapes overlap. Find the measure of angle 2

• L(-5, 3)

• M(-1, -1)

• N(3, 3)

• Q(5, -1)

• P(3, -5)

Measure and classify the following angles as acute, right, obtuse, or straight

• Angle LMN

• Angle LMP

• Angle NMQ

• Angle LMQ

Two angles are obtuse, or straightadjacent angles if they share a common vertex and side, but have no common interior points