Download Complementary and Supplementary Angles Name: Geometry

Complementary and Supplementary Angles
Geometry – Notes
Name: _____________________________
Period: _________
Goal: Be able to recognize complementary and supplementary angles and apply their theorems.
Warm-up:
Given: BFC  2x, CFD  3y
BF  DF, BFA  y, DFE  4x
Find: DFE

_________________________ angles are 2 angles whose sum is ____________(a right
angle.) Each of the two angles is the ____________________ of the other.

__________________________ angles are 2 angles whose sum is ______________ (a
straight angle.) Each of the 2 angles is the ____________________ of the other.
Given: Diagram as shown.
Prove: 1 is supplementary to 2
Statements
Reasons
Theorem – If two angles are __________________________and__________________________
then each angle is a ________________________.
Congruent Supplements Theorem – If two angles are _______________________of the same
____________________angles, then the 2 angles are ________________________.
Congruent Complements Theorem - If two angles are _______________________of the same
____________________angles, then the 2 angles are ________________________.
Given: Diagram as shown.
6  7
Prove: 5  8
Statements
Example: Solve for x and y.
Reasons
Example: One of two supplementary angle is four times the measure of the other. Find the measure
of the supplement.
Example: One of two complementary angles is three more than twice the other. Find the measure of
the complement.
Given: TVK is a right angle
Prove: 1 is complementary to 2
Statements
Reasons