# 2-8 Word Problem Practice Proving Angle Relationships

Learning about and understanding angle relationships can be a difficult concept for students to grasp. Many times, students struggle with using their knowledge of angles to solve real-world problems. To help students successfully solve problems involving angle relationships, practice is essential. In this article, we will discuss 2-8 word problem practice for proving angle relationships.

## Angles in Triangles One of the most common angle relationships students will come across is the angles in a triangle. In a triangle, the sum of all angles is 180°. This means that if two angles are given, the third can be calculated if the sum of the angles equals 180°. In order to practice solving problems involving angles in triangles, students can use word problems that require them to calculate the unknown angle. For example, “If angle A = 30° and angle B = 70°, what is the measure of angle C?” In this case, the measure of angle C would be 80° because 30° + 70° = 80°. Another angle relationship students should become familiar with is the angles in a quadrilateral. In a quadrilateral, the sum of all angles is 360°. This means that if three angles are given, the fourth can be calculated if the sum of the angles equals 360°. To practice solving problems involving angles in quadrilaterals, students can use word problems that require them to calculate the unknown angle. For example, “If angle A = 60°, angle B = 90°, and angle C = 90°, what is the measure of angle D?” In this case, the measure of angle D would be 120° because 60° + 90° + 90° = 240°.

## Angles in Parallelograms In a parallelogram, the opposite angles are equal. This means that if one angle is given, the other can be calculated if it is equal to the given angle. To practice solving problems involving angles in a parallelogram, students can use word problems that require them to calculate the unknown angle. For example, “If angle A = 40°, what is the measure of angle B?” In this case, the measure of angle B would be 40° because opposite angles in a parallelogram are equal.

## Angles in Trapezoids In a trapezoid, the two non-parallel sides are called the legs and the two parallel sides are called the bases. The two angles formed by the legs and the base are called the base angles. In a trapezoid, the two base angles are equal. This means that if one angle is given, the other can be calculated if it is equal to the given angle. To practice solving problems involving angles in a trapezoid, students can use word problems that require them to calculate the unknown angle. For example, “If angle A = 45°, what is the measure of angle B?” In this case, the measure of angle B would be 45° because opposite base angles in a trapezoid are equal.

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Learning and understanding angle relationships can be difficult for students. To help students better understand angle relationships, practice is essential. This article discussed 2-8 word problem practice for proving angle relationships. Students can use word problems to practice solving for angles in triangles, quadrilaterals, parallelograms, and trapezoids. With practice, students will be able to better understand and apply angle relationships to real-world problems.