Lines and Angles Test

Result

Lines and Angles Test - 3

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

If the difference between two complementary angles is 30°, then the smaller angle is

A
30°

B
45°

C
60°

D
75°

Solution

Let an angle be x

Complementary angle of x = 90° - x

Difference of complementary angles = 30°

x – (90° - x) = 30°

2x – 90° = 30°

2x = 120°

x = 60°

90° - x = 30°

Therefore, smaller angle is 30°.

Hence, A is the correct answer.
Question 2
1 / -0

Consider the two statements given below:

Statement 1: Two supplementary angles are always obtuse angles.

Statement 2: A linear pair may have two acute angles.

A
Statement 1 is true, and Statement 2 is false.

B
Statement 1 is false, and Statement 2 is true.

C
Both statements are true.

D
Both statements are false.

Solution

Let one angle be x; its supplement is 180° - x

Let x = 10° and 180° - x = 170°

But x is an acute angle. Therefore, Statement 1 is false.

The sum of angles of a linear pair = 180°

If one angle is x, another angle is 180° - x

If x < 90°

Another angle > 90°

Therefore, two angles of a linear pair cannot have two acute angles.

Hence, D is the correct answer.
Question 3
1 / -0

The sum of complementary angles is

A
90°

B
180°

C
270°

D
360°

Solution

When the sum of the measures of two angles is 90°, the angles are called complementary angles. For Example: 30° and 60°

Hence, A is the correct answer.
Question 4
1 / -0

What will be the measure of the supplement of 101° ?

A
11°

B
21°

C
79°

D
89°

Solution

The sum of supplementary angles equals 180°.

Let supplement of 101° = x

Therefore, x + 101° = 180°

x = 180° - 101° = 79°

Hence, C is the correct answer.