To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

Geometry Angles Worksheet

Geometry Angles Worksheet
  • Page 1
 1.  
Check for the validity of the statement.
'Measure of an obtuse angle is more than 90°.'
a.
never true
b.
always true
c.
sometimes true
d.
not enough information


Solution:

Measure of an obtuse angle is always greater than 90°.

The statement is always true.


Correct answer : (2)
 2.  
What type of angle is represented in the figure?


a.
a right angle
b.
a straight angle
c.
an obtuse angle
d.
an acute angle


Solution:

An angle measuring 90° is said to be a right angle.

So, the angle represented by the figure is a right angle.


Correct answer : (1)
 3.  
What type of angle do the hands of a clock form when it is 2 O′Clock?

a.
obtuse angle
b.
straight angle
c.
acute angle
d.
right angle


Solution:

An angle whose measure is less than a right angle is called an acute angle.

The angles formed by the clock′s hands when it is 2 O′Clock, is less than a right angle. So, the angle shown is an acute angle.


Correct answer : (3)
 4.  
What is the angle formed by the hands of the clock as shown in the picture?


a.
an acute angle
b.
an obtuse angle
c.
a right angle
d.
a straight angle


Solution:

A right angle is an angle that measures exactly 90°.

The angle shown by the hands of the clock also measures 90° and are perpendicular to each other.

So, the angle formed by the hands of a clock is a right angle.


Correct answer : (3)
 5.  
Identify the correct statement(s).
1. An acute angle is an angle less than 90°.
2. A right angle is an angle whose measure is equal to 90°.
3. The sum of two acute angles will be always greater than a right angle.
4. An obtuse angle is an angle whose measure is less than 90°.
a.
only 1 & 2
b.
only 1
c.
only 2
d.
only 3 & 4


Solution:

An acute angle is an angle whose measure is always less than 90°.

A right angle is an angle whose measure is equal to 90°.

An obtuse angle is an angle greater than 90° and whose measure is between 90° and 180°.

Let us assume A = 25° and B = 35°. A and B are acute angles but sum of their measures is not greater than a right angle.

So, statements 1 & 2 only are correct.


Correct answer : (1)
 6.  
Identify the figure with a right angle.


a.
Figure 4
b.
Figure 2
c.
Figure 1
d.
Figure 3


Solution:

A right angle is an angle whose measure is equal to 90°.

So, among the figures, Figure 4 represents a right angle.


Correct answer : (1)
 7.  
Identify the figure with an angle greater than a right angle.


a.
Figure 2
b.
Figure 1
c.
Figure 3
d.
Figure 4


Solution:

An angle whose measure is greater than a right angle is called an obtuse angle.

Among the figures, the angle of Figure 4 is greater than a right angle.


Correct answer : (4)
 8.  
How many right angles does the given polygon have?

a.
4
b.
3
c.
2
d.
6


Solution:

The given polygon is a square.

So, the given polygon has 4 right angles.
[Since, a square has 4 right angles.]


Correct answer : (1)
 9.  
Identify the number of right angles in the given polygon.

a.
8
b.
4
c.
2


Solution:

The given polygon is an octagon.

The number of right angles in the given polygon is 0.


Correct answer : (2)
 10.  
What is the angle formed by the hands of the clock?

a.
an acute angle
b.
an obtuse angle
c.
a straight angle
d.
a right angle


Solution:

The angle shown in the figure is greater than 90°.

Any angle greater than 90° but smaller than 180° is called an obtuse angle.

So, the angle formed by the hands of a clock is an obtuse angle.


Correct answer : (2)

*AP and SAT are registered trademarks of the College Board.