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Parallel Lines and Angles Worksheet - Page 3

Parallel Lines and Angles Worksheet
  • Page 3
 21.  
A reflex angle is an angle that lies between
a.
180° and 360°
b.
180° and 270°
c.
0° and 90°
d.
90° and 180°


Solution:

By definition, reflex angle is an angle that lies between 180° and 360° .


Correct answer : (1)
 22.  
In the figure, AOB and BOC are

a.
concurrent angles
b.
adjacent angles
c.
congruent angles
d.
none of the above


Solution:

Two angles are said to be adjacent if they have the same vertex, a common side and one angle is not inside the other.
[From Definition.]

AOB and BOC are adjacent angles.
[Step 1.]


Correct answer : (2)
 23.  
In the figure, 1 and 2 are

a.
Vertically opposite angles
b.
Alternate angles
c.
Adjacent angles
d.
Corresponding angles


Solution:

By definition, 1and 2 are adjacent angles.


Correct answer : (3)
 24.  
JKM and LKM are

a.
supplementary angles
b.
congruent angles
c.
complementary angles
d.
concurrent angles


Solution:

If the addition of two adjacent angles forms a straight angle, then the angles are supplementary.

JKM and LKM are supplementary angles.
[JKM + LKM = 180o.]


Correct answer : (1)
 25.  
15° is equal to
a.
22 7 radians
b.
15 gradians
c.
15 radians
d.
π12 radians


Solution:

180o = π radians
[Write the relation.]

15o = (π / 180× 15 )o = π12 radians
[Divide by 12 on both sides.]


Correct answer : (4)
 26.  
Line T is a transversal for lines L1 and L2. 4 and 8 are


a.
complementary.
b.
supplementary.
c.
right angles
d.
congruent.


Solution:

4 = 8
[Corresponding Angles Postulate.]

4 and 8 are congruent.
[Step 1.]


Correct answer : (4)
 27.  
Two parallel lines L1 and L2 are cut by a transversal T. Use the figure to find how 1 and 4 are related.

a.
corresponding angles
b.
supplementary
c.
alternate interior angles
d.
vertically opposite angles


Solution:

1 and 4 are vertically opposite angles.


Correct answer : (4)
 28.  
Two parallel lines L1 and L2 are cut by a transversal T. Use the figure to identify the special name for the angle pair 2 and 6.


a.
supplementary
b.
corresponding angles
c.
alternate interior angles
d.
none of the above


Solution:

2 and 6 are corresponding angles.


Correct answer : (2)
 29.  
Line T is a transversal for the parallel lines L1 and L2. 4 and 6 are

a.
supplementary
b.
corresponding angles
c.
same-side interior angles
d.
congruent


Solution:

4 and 6 are same-side interior angles.


Correct answer : (3)
 30.  
Which of the following pairs of angles are not equal?


a.
1, 3
b.
9, 11
c.
8, 6
d.
5, 6


Solution:

From the figure, 1,3 are vertical angles. Vertical angles are congruent. So, 1 = 3.

8, 6 are vertical angles. So, 8 = 6.

5, 7 are vertical angles. So, 5 = 7.

, 6 are not vertical angles. So, 5 ≠ 6.

Hence 5, 6 are not equal.


Correct answer : (4)

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