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Lesson: Applications of Complementary, Supplementary, and Vertically Opposite Angles

In this lesson, we will learn how to find a missing angle measure using the relations between complementary, supplementary, or vertically opposite angles.

Question Video: Finding the Measure of an Angle Using the Vertically Opposite and Supplementary Angles’ Relations

03:53

Worksheet: Applications of Complementary, Supplementary, and Vertically Opposite Angles • 17 Questions

Q1:

Find .

  • A
  • B
  • C
  • D

Q2:

Find .

  • A
  • B
  • C
  • D

Q3:

Find , , and .

  • A , ,
  • B , ,
  • C , ,
  • D , ,

Q4:

What is the size of ?

  • A
  • B
  • C
  • D

Q5:

If the size of , what is the size of ?

  • A
  • B
  • C
  • D

Q6:

If the size of , what is the size of ?

  • A
  • B
  • C
  • D

Q7:

Determine and in the given figure.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q8:

Find .

  • A
  • B
  • C
  • D

Q9:

Find , , and .

  • A , ,
  • B , ,
  • C , ,
  • D , ,

Q10:

In the figure, lines and intersect at . What is ?

  • A
  • B
  • C
  • D

Q11:

Determine .

  • A
  • B
  • C
  • D

Q12:

If and , find .

Q13:

Determine the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q14:

Determine the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q15:

Given that and are complementary angles, and and are supplementary angles. If , what is ?

  • A
  • B
  • C
  • D

Q16:

Given that and are complementary angles, and and are supplementary angles. If , what is ?

  • A
  • B
  • C
  • D

Q17:

If the measure of an angle’s supplement is 6 more than three times the measure of its complement, what is the measure of that angle?
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