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Angle Worksheets

Angle Worksheets
  • Page 1
 1.  
Name A, if A = 19°.
a.
obtuse angle
b.
straight angle
c.
right angle
d.
acute angle


Solution:

If the measure of an angle is less than 90°, it is an acute angle.

Since mA = 19°(< 90°), A is an acute angle.


Correct answer : (4)
 2.  
What is the measure of AOB?

a.
about 120°
b.
about 180°
c.
about 90°
d.
less than 90°


Solution:

The measure of AOB is greater than 90° but less than 180°.

So, AOB is an obtuse angle.

Among the choices, 120° is the only obtuse angle.

So, measure of AOB is about 120°.


Correct answer : (1)
 3.  
Which of the angles is obtuse?


a.
ÐLOB
b.
ÐAON
c.
ÐAOL
d.
None of the above


Solution:

AON is greater than AOL and less than AOB.

AON is greater than 90o and less than 180o.

Obtuse angle is an angle that is greater than 90o and less than 180o.

So, AON is an obtuse angle.


Correct answer : (2)
 4.  
PR is a line segment in the figure shown. Find the value of y.


a.
75o
b.
60o
c.
15o
d.
40o


Solution:

PQR = PQA + AQB + BQR

180o = (y + 35o) + 45o + (y + 20o)
[Equation]

180o = 2y + 100o
[Simplify]

180o - 100o = 2y + 100o – 100o
[Subtract 100o from each side.]

80o = 2y
[Simplify]

80o/2 = 2y / 2
[Divide each side by 2.]

40o = y
[Simplify]

So, the value of y = 40o.


Correct answer : (4)
 5.  
PQRS is a parallelogram. Find the measure of 2.


a.
50o
b.
55o
c.
60o
d.
75o


Solution:

From the figure, 1 and APB are vertical angles.

1 = 60o
[Vertical angles are congruent.]

PQRS is a parallelogram. In a parallelogram, the opposite angles are equal.

2 and 1 are opposite angles in the parallelogram. 1 = 2

2 = 60o
[Since 1 = 60o]

The measure of 2 = 60o


Correct answer : (3)
 6.  
What is the measure of the exterior angle of triangle ABC?

a.
145o
b.
155o
c.
135o
d.
125o


Solution:

In ΔABC, mABC = 55o and mBCA = 35o

Since side BC is extended to the point D, exterior angle of the triangle is ACD.

In the figure, Interior angle at C + Exterior angle at C = 180o.

mBCA + mACD = 180o
[Substitute the angles.]

35o + mACD = 180o
[Substitute the value of BCA.]

mACD = 145o
[Simplify.]

Measure of the exterior angle of the triangle is 145o.


Correct answer : (1)
 7.  
An angle measuring less than 90° is called _____.
a.
an obtuse angle
b.
a right angle
c.
an acute angle
d.
a straight angle


Solution:

An angle measuring less than 90° is called an acute angle.


Correct answer : (3)
 8.  
Identify the angle that measures more than 90°.

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


Solution:

In the figure, angle 3, angle 4, and angle 5 are 90°. Angle 1 is less than 90°.

Angle 2 and angle 6 are more than 90°.

So, among the choices angle 2 is more than 90°.


Correct answer : (3)
 9.  
In the figure shown, CD is intersecting AB at O. What is the angle b, if BOC = 120°?

a.
90°
b.
30°
c.
180°
d.
60°


Solution:

From the figure, BOC + BOD = 180°.

Therefore, 120° + b = 180°.

b = 180° - 120°.

b = 60°
[Simplify.]


Correct answer : (4)
 10.  
In the figure shown, CD is intersecting AB at O. What is the angle n if AOC = 58°?


a.
130°
b.
122°
c.
128°
d.
58°


Solution:

From the figure, AOC + BOC = 180°.

58° + n = 180°.

n = 180° - 58° = 122°.

Therefore, the angle 'n' is 122°.


Correct answer : (2)

More Angle Worksheets
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Angles Word Problems
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