Classwork
4/27/2020

Types of Angles



Example 1

Angle

Degrees

Type

Second Angle

Degrees

Type

Relationship

∠YXZ

180º

Straight

∠ZXY

180º

Straight

Same 

∠AXZ

150º

Obtuse

∠AXY

30º

Acute

Supplementary

∠AXY

30º

Acute

∠AXZ

150º

Obtuse

Supplementary

∠ZXB

30º

Acute

∠AXY

30º

Acute

Vertical

∠YXB

150º

Obtuse

∠AXZ

150º

Obtuse

Vertical

Vocabulary

Right angle is an angle that measures 90 degrees.

Obtuse angle is an angle that measures more than 90 degrees.

Acute angle is an angle that measures less than 90 degrees.

Straight angle is an angle that measures 180 degrees.

Complementary angles are two angles whose measure have a sum of 90 degrees.

Supplementary angles are two angles whose measure have a sum of 180 degrees.

Adjacent angles are a pair of angles that share a vertex and one side.

Vertical angles are angles that are across from one another and are congruent.

Vertex is the point where two lines cross.

Example 2

If ∠PKO is 30º, what are the others?

Example 3

∠NKM is x and ∠MKL is 2x 
Solve for
x