Download Section 1-3 In #1-10,use the protractors to find the measure of each

Geometry Worksheet
Section 1-3
Name:
In #1-10,use the protractors to find the measure of each angle. Then classify each angle as
acute, right, obtuse or straight.
1. <VXW
2. <TXW
3. <RXU
4. <VXT
5. <CGE
6. <BGD
7. <AGB
8. <CGA
9. <AGF
10. <CGF
use for
#1-4
use for
#5-10
In #11-12, L is in the interior of <JKM. Find each of the following. (A sketch may help.)
11. m<JKM if m<JKL = 42º and m<LKM = 28º
12. m<LKM if m<JKL = 56.4º and m<JKM = 82.5º
In #13-14, T is in the interior of <RSU. Find each of the following. (A sketch may help.)
13. m<RSU if m<RST = 38º and m<TSU = 28.6º
14. m<RST if m<TSU = 46.7º and m<RSU = 83.5º
In #15-16, BD bisects <ABC. Find the following. Show all work. (A sketch may help.)
15. The value of x and m<ABD if ,m<ABD = 6x + 4 and m<DBC = 8x – 4
(over)
16. The value of y and m<ABC is m<ABD = 5y – 3 and m<DBC = 3y + 15
In #17-18, SP bisects <RST. Find the following. Show all work. (A sketch may help.)
17. The value of x and m<RST if m<RSP = 3x – 2 and m<PST = 9x – 26
18. The value of y and m<RSP is m<RST =
5
y and m<PST = y + 5
2
19. Pendulum clocks have been used since 1656 to keep time.
The pendulum swings back and forth once or twice per second.
Name all of the angles in the diagram.
For #20-23, assume the corner of a sheet of paper is a right angle. Use the corner to
estimate the measure and classify each angle in the diagram.
20. <BOA
21. <COA
22. <EOD
23. <EOB
use for #20-23
24. Q is in the interior of right <PRS. If m<PRQ is 4 times as large as m<QRS, what is the
m<PRQ?
For #25-26, find the value of x. Show all work.
25. m<AOB = 4x – 2
m<BOC = 5x + 10
m<COD = 3x – 8
use for #25-26
26. m<AOB = 6x + 5
m<BOC = 4x – 2
m<AOC = 8x + 21
27. Can an obtuse angle be congruent to an acute angle? Why or why not?