Unit 10 Geometry, Measuring Angles
Some questions (c) 2015 by Region 10 Educational Service Center.
Some questions (c) 2015 by Certica.
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1
The minute hand and hour hand of an
analog clock can form angles of different
measures. At what time would the
minute hand and hour hand form a right
angle?
A noon
B 3:00
C
6:30
D 9:45
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2 What would be the measurement of the angle formed by clock hands at 6:00?
F
90 degrees
G
180 degrees
H 0 degrees
J
45 degrees
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3
The minute hand and hour hand of an
analog clock can form angles of different
measures. At what time would the
minute hand and hour hand form a right
angle?
A noon
B 9:00
C
6:00
D 2:00
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4 The compass shows that Nathan is facing east. To turn north, he will turn to
the left of a circle. What is the angle through which the compass needle will turn?
F
25°
G
45°
H 90°
J
5
180°
How many degrees are in a circle?
A 36
B 360
C
180
D 45
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6 Kyle looked at the clock at the beginning of recess, and the end of recess.
Begin End
How many degrees did the minute hand turn from the beginning to the end?
F
90
G
180
H 270
J
7
360
Thomas turned a doorknob one quarter
turn to the right. How many degrees is
this turn?
8 Using a protractor, what is the
measure of this angle?
A 45
B 90
C
95
D 180
F
35 degrees
G
45 degrees
H 135 degrees
J
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145 degrees
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9 Using a protractor, what is the measure of the angle?
A 10 degrees
B 20 degrees
C
160 degrees
D 170 degrees
10
What is the measurement F
35°
G
45°
in the figure below?
H 145°
J
155°
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11
Tanisha measured in the figure below with a protractor.
Which is closest to the measure of A 8°
B 26°
C
109°
D 176°
12
Where should the protractor be placed to F
The protractor should be placed on segment A.
on point
G
The protractor should be placed on segment C.
on point
H The protractor should be placed on segment B.
on point
J
on point
The protractor should be placed on segment C.
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13
Draw and angle that measures the same as m<GIH.
14
Draw an acute angle, and provide the
measurement of the angle. 15
Draw and obtuse angle, and provide
the measurement of the angle. Page 10
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16
Frank is using a protractor to construct an angle that measures 65°. First he draws ray
PQ, as shown on the protractor.
To complete the 65° angle, Frank should draw another ray that starts at point P and
passes through —
F
point R
G
point S
H point T
J
point V
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17
Neil made a model of four planets in our Solar System. The drawing below
shows the angles at which he placed these planets relative to the Sun.
The measure of the angle between Mercury and
Mars is 157°. What is the measure of Angle w, between Mercury and Venus?
A 22°
B 67°
C
112°
D 135°
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18
The minute hand of a clock turns to point to each number. The drawing
below represents part of a clock face. Angle W represents the number of
degrees between the numbers 12 and 3 on the clock.
What is the measure of Angle W?
F
30°
G
60°
H 90°
J
100°
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19
Mr. Chapman is building a handrail for a set of stairs, as shown in the
drawing. He knows the sum of the two angles under the handrail must
measure 180 degrees. The measure of one angle is 58 degrees.
What must be the value of x, the degree measure
of the second angle?
A 58°
B 122°
C
148°
D 180°
20
Make up a real-world problem about angles. Write the problem so that it can
be solved with the equation 360° – 120° = x.
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