# Free Lines and Angles 02 Practice Test - 7th grade

Vignesh has two angles, A and B. He arranged those two angles on a paper such that they are supplementary. Which of the following arrangements did he make? A.

I, II, III.

B.

I, II.

C.

IV only.

D.

III only.

#### SOLUTION

Solution : C

If two angles are supplementary, then the sum of the angles will be 180

Can there be a pair of complementary angles such that both of them are equal? If yes, find the values of those angles.

A. No, there exists no such pair of angles.
B. Yes, 45
C. Yes, 30
D. Insufficient data

#### SOLUTION

Solution : B

Let the measure of each angle be x.
Since the angles are complementary, their sum will be 90°.

x+x=90
2x=90
x=45
It is possible to have a pair of equal angles that are complementary and me
asure of each of them will be 45.

In the figure given below identify interior angles. A.

3, 4, 5, 6.

B.

1, 2, 8, 7.

C.

3, 2, 5, 6.

D.

1, 2, 3, 4.

#### SOLUTION

Solution : A

Interior angle can be defined as:
When two parallel lines are crossed by another line (which is called the transversal), the pairs of angles on opposite sides of the transversal  but inside the two lines are called interior angles.
So in the given question, the interior angles are 3, 4, 5, 6.

Ram decided to count the number of line segments in his name. He wrote his name as shown below. ___ is the total number of line segments in his name. #### SOLUTION

Solution :

Count the number of line segments. The number of segments required to make each letter is -

R - 5 segments

A - 3 segments

M - 4 segments

Therefore, number of line segments is 12.

In the given figure, there are ___ transversals. #### SOLUTION

Solution :

For lines l and m, lines p and q are transversals. Similarly for lines p and q, lines l and m will be transversals.

When a transversal cuts two lines such that pairs of alternate interior angles are ___, then the lines have to be parallel.

#### SOLUTION

Solution :

When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines have to be parallel. The interior alternate angles are always equal for a pair of parallel lines.

The two given lines are parallel. Find the value of angle 1 (in degrees). ___

#### SOLUTION

Solution :

Alternate exterior angles are equal.

Therefore, the required angle = 80

Bella states that a line segment is a part of a line. True/False

A.

True

B.

False

#### SOLUTION

Solution : A

A line can be extended infinitely in both the directions. Whereas a line segment is a part of a line that is bounded by two distinct end points.

Two obtuse angles can be supplementary.

A.

True

B.

False

#### SOLUTION

Solution : B

Obtuse angles are greater than 90 . So, the sum of two such angles will be greater than 180​.

Therefore, two obtuse angles cannot be supplementary.

Three lines can never intersect at a single point.

A.

True

B.

False

#### SOLUTION

Solution : B

Three lines can intersect at one point as shown below: ​​