Proving Angle Pair Relationships

Angle Relationships

We talk of angle relationships because we are comparing position, measurement, and congruence between two or more angles.

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We look at how angles are connected, if at all​

Angle relationships

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The 4 that we focus on are: ​

• Complementary

• Supplementary

• Adjacent

• Vertical​

Complementary; the angles add up to __

Supplementary: the angles add up to ___

Adjacent is when angles share a common ____ and ______.

Vertical angles are formed by intersecting lines. Vertical pairs are opposite of eachother and they are eqaul- in other words, they are congruent. ​

Practice

For the next couple of problems, you will anlylze the drawing and determine the angle relationship.

You will decide if they are complemntary, supplemntary, adjacent, or vertical.

Multiple Choice

• Complementary

• Supplementary

• Adjacent

• Vertical

Multiple Choice

• Complementary

• Supplementary

• Adjacent

• Vertical

Multiple Choice

• Complementary

• Supplementary

• Adjacent

• Vertical

Multiple Choice

• Complementary

• Supplementary

• Adjacent

• Vertical

Multiple Choice

• Complementary

• Supplementary

• Adjacent

• Vertical

Complementary; the angles add up to 90

Supplementary: the angles add up to 180

Adjacent is when angles share a common side and vertex.

Vertical angles are formed by intersecting lines. Vertical pairs are opposite of eachother and they are eqaul- in other words, they are congruent. ​

What is the value of x?

How do we get this answer?​

What is the value of y?

Multiple Choice

Find the value of x.

• 140

• 40

• 180

• 100

​What do we know about the angle relationship we have here?

Multiple Choice

Which equation is correct in order to find the value of x?

• 9x + 210 + 4x + 140 = 180

• 9x + 210 + 4x + 140 = 360

• 9x + 210 = 4x + 140

• 9x + 210 + 4x + 140 = 90

Multiple Choice

Which equation is correct in order to find the value of x?

• (3x-35) + 130 = 180

• (3x-35) = 130

• (3x-35) + 130 = 90

• (3x-35) + 130 = 360

Multiple Choice

Which equation is correct in order to find the value of x?

• 2x + 62 + 5x +38 = 180

• 2x + 62 + 5x +38 = 90

• 2x + 62 + 5x +38 = 360

• 2x + 62 = 5x +38

Math Response

What is the value of x?

Type answer here

Correct Answer: 128

Deg^°

Rad