#### Solved Examples and Worksheet for Measuring Angles - Protractor

Q1Using a protractor find the measure of AOB and COE. Are these two angles equal? A. 55° and 60°, Yes
B. 60° and 55°, Yes
C. 60° and 55°, No
D. 55° and 60°, No

Step: 1
Place the protractor on the given figure. Step: 2
Measure the angles.
Step: 3
AOB = 60°
Step: 4
COE = 55°
Step: 5
The AOB and COE are 60° and 55°.
Step: 6
Hence the angles are not equal.
Correct Answer is :    60° and 55°, No
Q2Find the measure of ABC. A. 85 degrees
B. 75 degrees
C. 115 degrees
D. 105 degrees

Step: 1
ABC is made of two rays, BC and BA with the common endpoint B.
Step: 2
ABC is the measure between BC and BA.
Step: 3
On the protractor scale, BC is passing through zero and BA is passing through 85 degrees.
Step: 4
The measure of ABC is 85 degrees.
Correct Answer is :   85 degrees
Q3Find the measure of KLM. A. 40 degrees
B. 120 degrees
C. 50 degrees
D. 130 degrees

Step: 1
KLM is made of two rays, LM and LK with the common endpoint L.
Step: 2
KLM is the measure between LM and LK.
Step: 3
On the protractor scale, LM is passing through 180 degrees and LK is passing through 130 degrees.
Step: 4
Difference = 180 degrees - 130 degrees = 50 degrees.
[Subtract.]
Step: 5
The measure of KLM is 50 degrees.
Correct Answer is :   50 degrees
Q4What is the measure of SQP. A. 30 degrees
B. 120 degrees
C. 40 degrees
D. 110 degrees

Step: 1
SQP is made of two rays, QS and QP with the common endpoint Q.
Step: 2
SQP is the measure between QS and QP.
Step: 3
On the protractor scale, QS is passing through 110 degrees and QP is passing through 140 degrees.
Step: 4
Difference = 140 degrees - 110 degrees = 30 degrees.
[Subtract.]
Step: 5
The measure of SQP is 30 degrees.
Correct Answer is :   30 degrees
Q5Find the measure of PQR. A. 65°
B. 146°
C. 55°
D. 34°

Step: 1
PQR is made of two lines, QR and QP with the common endpoint Q.
Step: 2
PQR is the measure between QR and QP.
Step: 3
On the protractor scale, QR is passing through zero and QP is passing through 146°.
Step: 4
The measure of PQR is 146°.
Q6Find the measure of STU. A. 65°
B. 135°
C. 50°
D. 140°

Step: 1
STU is made of two lines, TU and TS with the common endpoint T.
Step: 2
STU is the measure between TU and TS.
Step: 3
On the protractor scale, TU is passing through 0° and TS is passing through 140°.
Step: 4
Therefore, measure of STU is 140°.
Q7Find the measure of PQR. A. 20°
B. 18°
C. 10°
D. 15°

Step: 1
A protractor has two sets of numbers. Angles can be measured from either side of the protractor - from the left side or from the right side.
Step: 2
In the figure shown, one side of the angle QR is flat and the other side QP crosses the curved edge of the protractor.
Step: 3
There are two numbers 18 and 162 where QP crosses the curved edge of the protractor. The angle shown appears to be less than a right angle. So, the measure of the angle shown is 18°.
Q8Find the measure of XYZ. A. 35°
B. 145°
C. 50°
D. 30°

Step: 1
A protractor has two sets of numbers. Angles can be measured from either side of the protractor - from the left side or from the right side.
Step: 2
In the figure shown, one side of the angle YZ is flat and the other side YX crosses the curved edge of the protractor.
Step: 3
There are two numbers 35 and 145 where YX crosses the curved edge of the protractor. The angle shown appears to be less than a right angle. So, the measure of the angle shown is 35°.
Q9Find the measure of QPR. A. 122°
B. 125°
C. 58°
D. 130°

Step: 1
A protractor has two sets of numbers. Angles can be measured from either side of the protractor - from the left side or from the right side.
Step: 2
In the figure shown, one side of the angle PR is flat and the other side PQ crosses the curved edge of the protractor.
Step: 3
There are two numbers 58 and 122 where PQ crosses the curved edge of the protractor. The angle shown appears to be greater than a right angle. So, the measure of the angle shown is 122°.
Q10What is the measure of UVW? A. 140°
B. 130°
C. 132°
D. 122°

Step: 1
A protractor has two sets of numbers. Angles can be measured from either side of the protractor - from the left side or from the right side.
Step: 2
In the figure shown, one side of the angle VW is flat and the other side VU crosses the curved edge of the protractor.
Step: 3
There are two numbers 48 and 132 where VU crosses the curved edge of the protractor. The angle shown appears to be greater than a right angle. So, the measure of the angle shown is 132°.