Solving for Angles and Relationships

This lesson, led by Mrs. Zapia, focuses on solving for unknown angles using equations. Students learn to solve for angles in word problems and diagrams by applying learned angle facts. The lesson includes exercises and examples that guide students through setting up equations, solving for unknowns, and verifying their answers. Key concepts include angles on a line, angles at a point, and vertical angles. The lesson concludes with a summary of the steps for solving unknown angles and emphasizes the importance of checking answers with a protractor.

What is the primary goal of this lesson on solving unknown angles?

• To practice drawing angles

• To learn about different types of angles

• To solve for unknown angles in word problems and diagrams

• To memorize angle measurements

In the opening exercise, what is the sum of the three angles in the diagram?

• 90°

• 180°

• 134°

• 360°

When solving for angle X in the diagram, what is the first step?

• Combine like terms

• Divide by the coefficient

• Add all angles together

• Subtract 90 from both sides

What is the sum of angles on a point?

• 90°

• 360°

• 180°

• 270°

In example two, what is the measure of angle B A C?

• 30°

• 55°

• 11°

• 90°

What is the relationship between vertical angles?

• They are equal in measure

• They are supplementary

• They are adjacent

• They are complementary

In exercise three, what is the measure of angle D H F?

• 22°

• 110°

• 45°

• 72°

What is the first step in solving an equation with variables on both sides?

• Add the variables together

• Divide by the coefficient

• Subtract the smaller variable from both sides

• Multiply by the reciprocal

What is the measure of one of the vertical angles in example four?

• 30°

• 45°

• 15°

• 72°

What is the final step in verifying the solution for unknown angles?

• Check with a protractor

• Re-solve the equation

• Ask a peer to verify

• Recalculate the angles