Understanding Supplementary Angles

The video tutorial explains the concept of supplementary angles, which are two angles whose sum is 180 degrees. It sets up a problem where the larger angle is 30 degrees less than three times the smaller angle. The tutorial guides through solving the equation to find the measures of both angles, resulting in the smaller angle being 52.5 degrees and the larger angle being 127.5 degrees. The solution is verified by confirming that the sum of the angles equals 180 degrees.

What is the sum of two supplementary angles?

• 180°

• 270°

• 90°

• 360°

If two angles are supplementary, what do they form when combined?

• A right angle

• A straight angle

• An acute angle

• An obtuse angle

In the given problem, how is the larger angle related to the smaller angle?

• It is 30° less than three times the smaller angle

• It is 30° more than the smaller angle

• It is twice the smaller angle

• It is equal to the smaller angle

What expression represents the larger angle in terms of the smaller angle x?

• x - 30

• 3x + 30

• 3x - 30

• x + 30

What is the equation used to find the value of x?

• x + 3x - 30 = 180

• x + 3x = 180

• 3x - x = 180

• x - 3x + 30 = 180

What is the first step in solving the equation for x?

• Subtract 30 from both sides

• Divide both sides by 4

• Multiply both sides by 4

• Add 30 to both sides

What is the value of x, the measure of the smaller angle?

• 52.5°

• 127.5°

• 30°

• 180°

How do you calculate the measure of the larger angle once x is known?

• Subtract 30 from x

• Multiply x by 3 and add 30

• Multiply x by 3 and subtract 30

• Add 30 to x

What is the measure of the larger angle?

• 52.5°

• 127.5°

• 180°

• 30°

Do the calculated angles satisfy the condition of being supplementary?

• No, they add up to 270°

• Yes, they add up to 360°

• No, they add up to 90°

• Yes, they add up to 180°