Angle Relationships and Properties

Mrs. Lopez introduces lesson five, focusing on practicing writing and solving linear equations. The lesson includes examples involving angles and linear equations, such as finding the measures of angles in various geometric contexts. Students are encouraged to solve exercises and advanced problems to solidify their understanding. The lesson concludes with a summary and homework instructions.

What is the main focus of Lesson 5?

• Studying geometry

• Learning about quadratic equations

• Practicing writing and solving linear equations

• Introducing new concepts in linear equations

In Example 1, if one angle is 5 degrees less than three times another angle, and their sum is 143 degrees, what is the measure of the smaller angle?

• 5 degrees

• 143 degrees

• 106 degrees

• 37 degrees

In Example 1, what is the measure of the larger angle?

• 37 degrees

• 106 degrees

• 143 degrees

• 5 degrees

In Example 2, if one angle is 10 degrees more than four times another angle in a right triangle, what is the measure of the smallest angle?

• 74 degrees

• 16 degrees

• 90 degrees

• 10 degrees

What is the measure of the largest angle in the right triangle from Example 2?

• 16 degrees

• 74 degrees

• 90 degrees

• 10 degrees

In the exercises, what does it mean when two angles are congruent?

• They are adjacent

• They are complementary

• They are equal in measure

• They are supplementary

In the exercises, if two angles are supplementary, what is their combined measure?

• 90 degrees

• 180 degrees

• 45 degrees

• 360 degrees

In the advanced exercises, what is the significance of rigid motions in relation to angles?

• They change the measure of angles

• They make angles supplementary

• They preserve the measure of angles

• They make angles complementary

In the advanced exercises, if two angles are complementary, what is their combined measure?

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

In the advanced exercises, what is the measure of an angle that is one less than six times another angle, if they are complementary?

• 77 degrees

• 13 degrees

• 90 degrees

• 6 degrees