## 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?

- ∠LKP = 90º
- ∠OKN = 150º
- ∠NKM = 30º
- ∠MKN = 30º
- ∠MKL = 60º
- ∠PKM = 150º

Example 3

∠NKM is x and ∠MKL is 2x

Solve for x