Using complementary angles to find the value of both angles

The video tutorial explains how to find the measures of two complementary angles, where one angle is 21 degrees more than twice the other. It covers the concept of complementary angles, setting up and solving equations, and verifying the solution. The teacher guides students through understanding operations like addition and multiplication, and solving algebraic equations to find the angle measures.

What is the sum of complementary angles?

• 360 degrees

• 90 degrees

• 45 degrees

• 180 degrees

If one angle is 21 more than twice another angle, which operation is used to express 'twice'?

• Addition

• Subtraction

• Division

• Multiplication

How would you express '21 more than twice the measure of angle b' in an equation?

• b - 21

• b + 21

• 21b + 2

• 2b + 21

What equation represents the sum of angles a and b if they are complementary?

• a - b = 90

• a * b = 90

• a + b = 90

• a + b = 180

What is the value of angle b if 3b + 21 equals 90?

• 30 degrees

• 60 degrees

• 45 degrees

• 23 degrees

If angle b is 23 degrees, what is the measure of angle a?

• 90 degrees

• 23 degrees

• 67 degrees

• 46 degrees

What is the final check to ensure the solution is correct?

• Multiply angles a and b to see if they equal 90

• Add angles a and b to see if they equal 90

• Subtract angles a and b to see if they equal 90

• Add angles a and b to see if they equal 180