﻿ Parallel Lines and Angles Worksheet - Page 3 | Problems & Solutions

# 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° .

22.
In the figure, $\angle$AOB and $\angle$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.]

23.
In the figure, $\angle$1 and $\angle$2 are

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

#### Solution:

By definition, 1and 2 are adjacent angles.

24.
$\angle$JKM and $\angle$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.]

25.
15° is equal to
 a. $\frac{22}{7}$ radians b. 15 gradians c. 15 radians d. $\frac{\pi }{\mathrm{12}}$ radians

#### Solution:

[Write the relation.]

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

26.
Line T is a transversal for lines L1 and L2. $\angle$4 and $\angle$8 are

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

#### Solution:

4 = 8
[Corresponding Angles Postulate.]

4 and 8 are congruent.
[Step 1.]

27.
Two parallel lines L1 and L2 are cut by a transversal T. Use the figure to find how $\angle$1 and $\angle$4 are related.

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

#### Solution:

1 and 4 are vertically opposite angles.

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 $\angle$2 and $\angle$6.

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

#### Solution:

2 and 6 are corresponding angles.

29.
Line T is a transversal for the parallel lines L1 and L2. $\angle$4 and $\angle$6 are

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

#### Solution:

4 and 6 are same-side interior angles.

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.