An angle is formed when two rays share a common endpoint, called the vertex. Angles are measured in degrees, and there are different types of angles based on their measurements and positions.

**Acute Angle:**An angle that measures greater than 0 degrees and less than 90 degrees.**Right Angle:**An angle that measures exactly 90 degrees.**Obtuse Angle:**An angle that measures greater than 90 degrees and less than 180 degrees.**Straight Angle:**An angle that measures exactly 180 degrees, forming a straight line.**Reflex Angle:**An angle that measures greater than 180 degrees and less than 360 degrees.

Angles are measured in degrees using a protractor. The protractor has a semicircular shape, with markings from 0 to 180 degrees in both directions. To measure an angle, place the vertex of the angle at the center of the protractor and align one of its rays with the zero mark. Then, read the measurement where the other ray intersects the protractor scale.

When two lines intersect, they form pairs of angles with specific relationships:

**Vertical Angles:**When two lines intersect, the pairs of opposite angles are called vertical angles. They are equal in measure.**Adjacent Angles:**Two angles are adjacent if they have a common vertex and a common side, but do not overlap. The sum of adjacent angles is 180 degrees if they form a straight line.**Complementary Angles:**Two angles are complementary if the sum of their measures is 90 degrees.**Supplementary Angles:**Two angles are supplementary if the sum of their measures is 180 degrees.

1. Identify the type of each angle:

a) 45 degrees

b) 120 degrees

c) 90 degrees

d) 200 degrees

2. If angle A measures 40 degrees, what is the measure of its complement? Its supplement?

3. Draw and label a pair of vertical angles and a pair of adjacent angles.

4. Using a protractor, measure the following angles:

a) 30 degrees

b) 135 degrees

c) 90 degrees

d) 220 degrees

5. Find the value of x in the following figure: (insert figure of intersecting lines with angles labeled)

Remember to review the definitions, properties, and practice problems regularly to strengthen your understanding of angles. Practice drawing and measuring angles using a protractor to improve your skills. Good luck with your studies!

.Study GuideShapes Worksheet/Answer key

Shapes Worksheet/Answer key

Shapes Worksheet/Answer key

Shapes Worksheet/Answer key

Shapes Worksheet/Answer key

Shapes Worksheet/Answer key

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Shapes Vocabulary/Answer key

Shapes Vocabulary/Answer key

Shapes

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.

Classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids.

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Recognize geometric ideas and relationships and apply them to other disciplines and to problems that arise in the classroom or in everyday life.