Angle Addition

Angle Addition

Angle Types

• Adjacent Angles are two angles that share a side and a vertex.

• Vertical Angles are opposite angles that are created by intersecting lines. Vertical angles are CONGRUENT (equal).

Multiple Choice

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

Multiple Choice

What angle pair is pictured?

• Alternate Interior Angles

• Supplementary Angles

• Vertical Angles

• Corresponding Angles

Multiple Choice

Name the vertical angle to

∠h.

• ∠f

• ∠i

• ∠g

• ∠j

Multiple Choice

Which are pairs of vertical angles?

• ∠COB & ∠COA

• ∠AOD & ∠AOC

• ∠COB & ∠AOD

• ∠BOD & ∠AOD

Multiple Choice

Which angles are vertical angles?

• $\angle8\ \&\ \angle7$

• $\angle8\ \&\ \angle6$

• $\angle8\ \&\ \angle5$

Multiple Choice

What type of angles are these?

• Adjacent Angles

• Linear Pair

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Angle Addition Postulate

• A mathematical rule that states that if we have two adjacent angles, we can add their measures to find the measure of the big angle they create.

• Small angle + small angle = big angle... so if you know two small angles and need to know the big angle, ADD.

• If you know the big angle and one of the small angles and need to know the other small angle, SUBTRACT.

Multiple Choice

Calculate m∠ABC.

• 45°

• 60°

• 105°

• 15°

Multiple Choice

Find the value of ∠A.

• 25 degrees

• 30 degrees

• 35 degrees

• 90 degrees

Multiple Choice

Calculate m∠DEF.

• 180°

• 60°

• 120°

• 80°

Multiple Choice

 $\angle ECD=122\degree$  and  $\angle BCE=36\degree$ . Find the measure of  $\angle BCD$  . 

•  $\angle BCD=158\degree$  

•  $\angle BCD=86\degree$  

•  $\angle BCD=58\degree$  

•  $\angle BCD=144\degree$  

Multiple Choice

Find the value of ∠A.

• 39 degrees

• 49 degrees

• 51 degrees

• 59 degrees

Multiple Choice

What is the measure of the missing angle?

• 76

• 86

• 166

• 156