Name _________________________________________Period_________Date ____________
Homework 2-5
Proving Angles Congruent
Show work on separate piece of paper for #1-8 below
Find the values of the variables.
1.
2.
3.
4.
Find the measure of each angle.
5
is one fourth as large as its supplement,
6.
is five times as large as its complement,
.
.
Write three conclusions that can be drawn from each figure.
7.
8.
9. Developing Proof. Complete the proof of Theorem 2-3 by filling in any blanks.
Theorem: If two angles are complements of the same angle, then the two angles are congruent.
0.
are complementary.
are complementary
Given__________________
1.
By definition of complementary_
By definition of complementary_
2.
____________________________
3.
or
____________________________
Use the diagram at the right to find the measure of each angle.
a.
b.
c.
d.