Beginning Algebra
Answer/Discussion to Practice Problems
Tutorial 33: Basic Geometry
Answer/Discussion
to 1a
What is the complementary angle to 33 ? 
Basically we need an angle that when we add it to 33 we get 90.
Let's set it up and solve it algebraically, letting x be the missing angle and see what we get: 

*Complementary angles sum up to be 90 
The complementary angle to 33 degrees is 57 degrees. 
Answer/Discussion
to 2a
What is the supplementary angle to 33 ? 
Basically we need an angle that when we add it to 33 we get 180.
Let's set it up and solve it algebraically, letting x be the missing angle and see what we get: 

*Supplementary angles sum up to be 180 
The supplementary angle to 33 degrees is 147 degrees. 
Answer/Discussion
to 4a
Figure ABCDE is similar to figure FGHIJ. 
If A = 30, C
= 40, and E =
50, what is the measure of F?
Since F corresponds
to A and the
figures are similar, then F
= A = 30.
If AE = 10, FJ = 20, and BC = 40, what is the length of GH?
Since side GH corresponds to side BC and the figures are similar to
each other, then GH and BC are in proportion to each other. Similarly,
FJ and AE are in proportion to each other. When setting up the proportion,
make sure that you set it up the same on both sides. 

*Corresponding sides of similar figures are in proportion to each other
*Cross multiply

Answer/Discussion
to 5a 
Answer/Discussion
to 5b 
Answer/Discussion
to 5c 
Answer/Discussion
to 5d 

*Corresponding angles are =
*Straight angle = 180

Last revised on August 6, 2011 by Kim Seward.
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