Understanding Complementary Angles

The video tutorial explains complementary angles, which sum to 90°. It sets up a problem where one angle is six more than twice the other. An equation is formed and solved to find the measures of both angles, which are verified to sum to 90°.

What is the sum of two complementary angles?

• 45°

• 90°

• 180°

• 360°

If one angle is 30°, what is the measure of its complementary angle?

• 120°

• 90°

• 60°

• 30°

In the problem setup, how is the second angle related to the first angle?

• It is half of the first angle.

• It is twice the first angle.

• It is six more than the first angle.

• It is six more than twice the first angle.

What expression represents the second angle if the first angle is X?

• X + 6

• 2X + 6

• X - 6

• 2X - 6

What equation is formed to find the value of X?

• X = 90

• 2X + 6 = 90

• X + 2X + 6 = 90

• X + 2X = 90

What is the first step in solving the equation X + 2X + 6 = 90?

• Multiply both sides by 3

• Subtract 6 from both sides

• Divide both sides by 3

• Add 6 to both sides

After simplifying the equation, what is the value of X?

• 30

• 28

• 34

• 32

What is the measure of the first angle?

• 28°

• 30°

• 32°

• 34°

What is the measure of the second angle?

• 60°

• 62°

• 64°

• 66°

What is the sum of the two angles found in the solution?

• 90°

• 85°

• 80°

• 95°