Understanding Supplementary Angles

The video tutorial explains how to solve a problem involving supplementary angles. It begins by defining supplementary angles and setting up a problem where one angle is three degrees less than twice the other. The tutorial walks through solving for the smaller angle using algebraic expressions and verifies the solution by calculating the larger angle. The video concludes by confirming that the sum of the angles equals 180 degrees, demonstrating the correctness of the solution.

What does it mean for two angles to be supplementary?

• They are equal in measure.

• They add up to 180 degrees.

• They are complementary.

• They add up to 90 degrees.

If one angle is three degrees less than twice another angle, how can you express this relationship algebraically?

• Y = X + 3

• X = 2Y + 3

• Y = 2X - 3

• X = 3Y - 2

What equation represents the sum of the two angles described in the problem?

• X + 2X + 3 = 180

• X + 2X - 3 = 180

• X - 2X + 3 = 180

• 2X + 3X = 180

What is the measure of the smaller angle?

• 62 degrees

• 61 degrees

• 60 degrees

• 63 degrees

How do you calculate the larger angle once you know the smaller angle is 61 degrees?

• Add 61 to 3 and multiply by 2

• Subtract 3 from 61 and multiply by 2

• Multiply 61 by 2 and subtract 3

• Multiply 61 by 2 and add 3

What is the measure of the larger angle?

• 120 degrees

• 119 degrees

• 121 degrees

• 118 degrees

What is the sum of the two angles?

• 182 degrees

• 181 degrees

• 180 degrees

• 183 degrees

Which of the following verifies that the solution is correct?

• The sum of the angles is 90 degrees.

• The larger angle is twice the smaller angle.

• The sum of the angles is 180 degrees.

• The smaller angle is three times the larger angle.