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Name: _______________________
______________________________________Period:
___________________________Period: _______ Date: ____________________
Foundations of Geometry: HOMEWORK
Unit 2: Angle Relationships
Section 1.5: Quiz Review
Drawing
Solve
Problem
1. Two vertical angles
measure (13y)° and
(16y – 27)°. Solve for y
and find each angle
measure.
2. Two angles ∠A and ∠B are
vertical angles. m∠A=
(7x)° and m∠B=(5x + 18)°.
Solve for x and find m∠A
and m∠B.
3. Two angles form a linear
pair and their measures
are (3y + 8)° and (5y + 4)°.
Solve for y and find the
measure of the two angles.
4. Given that ∠1 is a
complement of ∠2 and
m∠1= 73°, find m∠2.
5. Given that ∠3 is a
supplement of ∠4 and
m∠3= (3x – 8)° and
m∠4= (7x + 18)°, find m∠3
and m∠4.
6. Two angles form a linear
pair and one angle is 4
times the measure of the
other angle. Find the
measure of each angle.
Find the value of x and solve for the given angles.
7. ∠LKM = (3x + 5)°,
∠MKL = (2x + 9)°
8. ∠EHG = 66°
9. ∠ADC = (7x + 62)°
∠EHF = _______;∠EHG = _______
∠ADB = _______; ∠BDC = _______
∠LKM = _______ ∠MKL = _______
∠FHG = ________
∠ADC = _______
bisects ∠JKL.
10. bisects ∠ABC.
11. bisects ∠ABC.
12. (10x - 45)°
(3x + 13)°
∠JKL = ______;∠MKL = ________
∠ABC = ______; ∠ABD = _______
∠ABC = ______; ∠ABD = _______
∠DBC = _______
∠DBC = _______
13. What is the intersection of plane EFG and plane WXF? _____________
14. What is the intersection of plane GYW and plane ZXW? __________
and ? __________________
15. What is the intersection of 16. Find all three segments.
17. Find all three segments.
(15x – 50)
(3x + 9)
2x
(5x + 11)
(4x -3)
(4x – 1)
18. Point B is between A & C on
segment AC. Draw & label a
picture, then find all three
segments.
AB = 10x + 4
BC = 4x – 3
AC = 12x + 16
________
________ ________ ________
__________
__________
________ ________
__________
19. Find the value of the variables, then mark
each angle measure.
20. Find the value of the variables, then mark
each angle measure.
x = ____________ y = ___________
x = ____________ y = ___________
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