Download Angles Formed by Intersecting Lines

Name ________________________________________ Date __________________ Class __________________
LESSON
4-1
Angles Formed by Intersecting Lines
Practice and Problem Solving: A/B
1. ∠PQR and ∠SQR form a linear pair. Find the sum of their measures. ________
2. Name the ray that ∠PQR and ∠SQR share. ________
Use the figures for Problems 3−8.
3. supplement of ∠AEB
4. complement of ∠AEB
5. x = _________________________
6. y = ________________________
7. m∠DEC = _________________
8. m∠AED = _________________
9. ∠DEF and ∠FEG are complementary. m∠DEF = (3x − 4)°, and
m∠FEG = (5x + 6)°.
Find the measures of both angles. _______________________________________________________
10. ∠DEF and ∠FEG are supplementary. m∠DEF = (9x + 1)°, and
m∠FEG = (8x + 9)°.
Find the measures of both angles. _______________________________________________________
Use the figure for Problems 11 and 12.
In 2004, several nickels were minted to commemorate the Louisiana
Purchase and Lewis and Clark’s expedition into the American West. One
nickel shows a pipe and a hatchet crossed to symbolize peace between
the American government and Native American tribes.
11. Name a pair of vertical angles.
________________________________________
________________________________________
12. Name a linear pair of angles.
_________________________________________________________________________________________
13. ∠ABC and ∠CBD form a linear pair and have equal measures. Tell if
∠ABC is acute, right, or obtuse. _________________________________________________________
JJJG
14. ∠KLM and ∠MLN are complementary. LM bisects ∠KLN. Find the
measures of ∠KLM and ∠MLN. _________________________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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Name ________________________________________ Date __________________ Class __________________
LESSON
4-1
Angles Formed by Intersecting Lines
Practice and Problem Solving: Modified
Use the terms and the diagrams below to answer Problems 1–4.
Notice that more than one term can be used for some questions.
The first one is done for you.
Terms:
linear pair
supplementary angles
complementary angles
right angle
vertical angles
complementary angles and adjacent angles.
1. ∠5 and ∠6 are ___________________________
2. ∠1 and ∠3 are __________________________________.
3. ∠1 and ∠2 are __________________________________ and __________________________________.
4. ∠FGK is a ______________________________________.
Use the diagrams above to answer these questions. The first one is
done for you.
90°
5. The measure of ∠FGK is ________.
6. If ∠5 is 70°, then the measure of ∠6 is ________.
7. If ∠2 is 140°, then the measure of ∠1 is ________ and the measure of
∠4 is _________.
In an equilateral triangle, all three sides have equal lengths and all three
angles have equal measures. Find the measure of the following angles.
The first one is done for you.
120°
8. supplement of ∠A _________
9. complement of ∠A _________
Draw your answer in the space provided. The first one is done for you.
10. Sketch ∠1 and ∠2 so that
they are vertical.
11. Sketch two lines so that they
form complementary angles.
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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