Proving Angle Pair 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. ​

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.

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 do we know about the angle relationship we have here?