Complementary and Supplementary Angles

Complementary and Supplementary Angles

Geometry

Complementary Angles

• Two angles that add up to 90 degrees

Supplementary Angles

• Two angles that add up to 180 degrees

• Linear Pairs are supplementary

Multiple Choice

complementary, supplementary, or neither?

• Complementary
• Supplementary
• Neither

Multiple Choice

Two angles added together to produce 90 degrees

• Complementary
• Supplementary
• Neither

Finding Angle Measures

• Find the value of x

• We know the tow angles add up to 90 degress because of the right angle at the vertex.

• The two angles are complentary

•  $90=x+62$  

•  $x=28\degree$  

Finding Angle Measures

• Find the value of x

• Angles are supplementary - add up to

   $180\degree$  

•  $180=\left(5x+4\right)+\left(x-2\right)+\left(3x+7\right)$ 

•  $180=9x+9$  

•  $171=9x$  

•  $19=x$  

Multiple Choice

What is the measure of the missing angle?

• 76
• 86
• 166
• 156

Multiple Choice

Tell whether the angles are complementary or supplementary. Then find the value of x.

• Complementary; x=25
• Complementary; x=5
• Supplementary; x=25
• Supplementary; x=5

Congruent Complements Theorem

• If two angles are complements of the same angle, or of congruent angles, then the two angles are congruent.

Multiple Choice

Let  $m\angle A=40\degree$  . If B is a complement of A, and C is a supplement of B, find these measures.

•  $m\angle B=50\degree,\ m\angle C=130\degree$  

•  $m\angle B=60\degree,\ m\angle C=120\degree$  

•  $m\angle B=40\degree,\ m\angle C=140\degree$  

•  $m\angle B=30\degree,\ m\angle C=150\degree$  

Poll

Rate your understanding of Complementary and Supplementary Angles.

• 5- I understand Complementary and Supplementary Angles

• 4 - I mostly understand, but may need some more practice

• 3 - I am pretty good, but am likely to have some questions

• 2 - I am not sure the difference between Complementary and Supplementary Angles

• 1 - Lets schedule a Zoom meeting