Scholarship Geometry
Worksheet 1-4
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. m<VXW =
2. m<TXW =
3. m<RXU =
4. m<VXT =
5. m<CGE =
6. m<BGD =
7. m<AGB =
8. m<CGA =
9. m<AGF =
10. m<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 will 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 #13-15, T is in the interior of <RSU. Find each of the following. (A sketch will 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
15. m<TSU = 3x – 2, m<RSU = 5x, m<RST = 34
Find m<TSU and m<RSU. Show work.
(over)
For #16-19, 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.
16. <BOA
17. <COA
18. <EOD
19. <EOB
use for #16-19
20. Q is in the interior of right <PRS. If m<PRQ is 4 times as large as m<QRS, find m<PRQ?
For #21-23, find the value of x. Show all work.
21. m<AOC = 7x – 2
m<DOC = 2x + 8
m<EOD = 27
use for #21-23
22. m<AOB = 4x – 2
m<BOC = 5x + 10
m<COD = 3x – 8
23. m<AOB = 6x + 5
m<BOC = 4x – 2
m<AOC = 8x + 21
24. If m<ABD = 79, find the value of x,
m<ABC and m<DBC. Show all work.
25. <RQT is a straight angle. Find the value of x,
m<RQS and m<TQS. Show all work.
26. Can an obtuse angle be congruent to an acute angle? Why or why not?
27. m<LMN = 37, m<LMQ = 48.
Find m<NMQ. (Find two possible answers.)
(A sketch will help.)