Geometry – Unit 1 Practice
Integrating Algebra into Geometric Concepts
Name: _____________________________!
G.CO.C.9
Date: ___________ Pd: ____
Example Problem:
First you must decide which relationship exists between the
angles:
Are the angles equal?
Do they add to 90°?
Do they add to 180°?
y
3x
5x
In this case:
5 x  90
y  3 x  90
5 x  y  3 x  180
Answer the question.
Write the correct algebraic equation.
Solve.
We can solve the first equation and
find x = 18.
Then we can find the y value by
substituting into either equation and
solving. y = 36
Find all unknown values. Fill in the table to organize the thought process…
Question
Relationship
Equation
1)
Answer(s)
54 
4x
2)
3x
y°
75 
3)
3x
2x
4)
(x+10) 
SNRPDP
(4x-35)
Unit 1: Foundations of Geometry
NVACS – Revised 2015-2016
Page 1 of 2
Practice – Unit 1 (cont.)
Question
Relationship
Equation
5)
(12x-15) 
(3x+45)
6)
(3x+8) 
7)
(5x-20)
One angle is twice as large as its complement. Find the measure of both angles.
Page 2 of 2
Answer(s)