Download Sch. Geometry Name: Worksheet 2-2 In #1

Sch. Geometry
Worksheet 2-2
Name:
In #1-10, answer each. When naming angles, refer only to the numbered angles.
1. Which pairs of angles are vertical angles?
2. Are <3 and <4 adjacent angles?
3. Which pairs of angles are linear pairs?
4. Which two angles are supplements of <5?
5. Are <2 and <3 adjacent angles?
6. Can two acute angles be supplementary?
7. Can two vertical angles, both acute, be adjacent?
8. If two angles are congruent and complementary, what is the measure of each?
9. If two angles are congruent and supplementary, what is the measure of each?
10. Can two angles be both complementary and adjacent?
11. An angle measures xº. What is the measure of its complement?
What is the measure of its supplement?
12. An angle has measure 2k. What is the measure of its complement?
13. An angle has measure 5k. What is the measure of its supplement?
For #14-22, in the figure, m<GXF = 40 and m<FXE = 30. Find each measure.
14. m<AXG =
15. m<CXB =
16. m<ACX =
17. m<BXF =
18. m<AXD =
19. m<BXD =
20. If m<BXD = 4x – 50 and m<GXE = 2x + 10,
find m<BXD and m<GXE. Show all work.
use for #14-22
(over)
21. If m<AXG = 3x and m<GXF = 2x – 10,
find m<AXG and m<GXF. Show all work.
22. If m<GXF = 2x + 15 and m<GXC = 3x + 5,
find m<GXF and m<GXC. Show all work.
use for #21-22
23. An angle’s measure is 3 times the measure of its complement. Find the measure of the angle and
the measure of its complement. Show all work.
24. The measure of one of two supplementary angles is 20 more than four times the measure of the
other. Find the measure of each. Show all work.
25. Two complementary angles have measures of 3x - 10 and 2x + 10. Find the measure of each
angle. Show all work.
23. Two supplementary angles have measures of 2x - 15 and x + 30. Find the measure of each angle.
Show all work.
In #24-29, use the figure below to classify each pair of angles as supplementary, complementary,
adjacent, a linear pair, vertical, or none of these. (List all possible answers.)
24. <SWR and <TWP
25. <RWQ and <QWP
26. <SWT and <QWP
use for
#24-29
27. <SWT and <TWP
28. <QWP and <PWT
29. <SWR and <QWP
30. An angle has measure of 2x + 20, and its vertical angle has a measure of 5x - 34. Find the
measure of each angle. Show all work.
31. The ratio of the measure of an angle to its complement is 3:2. Find the measure of the angles.
Show all work.
32. The angle measures 30º, 60º, 120º and 150º are written on slips of paper. You choose two slips of
paper at random. What is the probability that the angle measures are supplementary?
33. Explain in writing why an angle that is supplementary to an acute angle must be an obtuse angle.
CHALLENGE…
34. The sum of the measures of a complement and a supplement of an angle is 184. Find the measure
of the angle.