These worksheets will teach your students how to correctly calculate angles based on their relationships.

#### How do you identify relationships between angles? When two rays meet at a point, they form an angle at that point. These rays are also called the sides of a geometric shape. This is formed at the common endpoint, which is also called the vertex. There a wide variety of angle types and each of these has a unique set of properties. The different types of angles include congruent, adjacent, vertical, corresponding, exterior, and interior. You can measure these values by using a protractor and even use the properties of these measures and this is where relationships come into place. Comparing angles is also a common way to calculate the measure. These relationships include a comparison of the position, measurement, and congruence between two or more angles. Congruent angles no matter their orientation all have equal measures. Adjacent angles are when two lines cross each other; they form four angles. Any two angles are sharing a ray, line segment, or line. The angles that are not touching each other except at their vertex are vertical. Corresponding angles appear when a transversal crosses two other lines. Exterior angles are created with parallel lines and their transversal. Angles between the bounds of the two parallel lines are interior.

When you are given two parallel lines and a bisector you can tell a whole lot about the relationships between the angles. You will be given a set of parallel lines and a line that slashes through it. You then be asked to define the angles that ride off of those. You will need to understand the concept of supplementary and complementary angles to help you through these. You will also be presented with word problems that we force you to be reminded of triangle definitions such as isosceles and right triangles. These worksheets explain how to find the measurement of an angle by considering its relationship to what is known about the lines and angles in relationship with it. In many questions, students will not be allowed to measure directly.

# Print Angle Relationships Worksheets

## Find the Measure of an Angle Lesson

This worksheet explains how to find the measurement of an angle. A sample problem is solved.

## Lesson

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length 'b' and the remaining side has length 'a'. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.

## Lesson and Practice

On this worksheet a line l is intersected by another line that makes four angles on point O. On the upper portion of line l the BOC and BOA are supplementary angles. So their total will be equal to 180°.

## Practice Worksheet

Students will find the measure of the indicated angle by considering its relationship to an angle whose measurement is known. Ten problems are provided.

## Relationship of Angles Practice

Given the known measurement of one angle, students will find the measurement of the indicated angle. Ten problems are provided.

## Angle Relations Drill

Students will find the measurements of the indicated measures. Eight problems are provided.

## Review and Warm Up

Students will use what they know about a related angle to find the measurement of the indicated angle. Three problems are provided.

## Finding the Measure and Relationship Lesson and Practice

This worksheets explains how to find the measure of an angle by considering its relationship with other lines and angles. A sample problem is solved, and two practice problems are provided.

## Measured Relationship Worksheet

Ten problems are provided. Sample problem: The complement of an angle is three times as big as the angle. Find the measure of the complement.

## Finding the Measures Practice

Students will find the measure of the indicated angle in each word problem by referring to the pictures. Ten problems are provided.

## Relations Drill

Students will find the measurements of the angles indicated. Eight word problems are provided. Sample problem: If the base angle of an isosceles triangle measures 33°. What is the measure of the top angle?

## Skill Warm Up

Students will solve each word problem by referring to the picture. Three problems are provided.