An angle is more than 45°. Its complementary angle must be less than 45°. State whether the statement is true or false

Solution:

Given, an angle is more than 45°. Its complementary angle must be less than 45°.

We have to determine if the given statement is true or false.

When the sum of the measures of two angles is 90°, the angles are called complementary angles.

Each of them is called a complement of the other.

Let the angle be x = 50°

Complement of x = 90° - x

= 90° - 50°

= 40° < 45°

So, an angle more than 45°, its complementary angle must be less than 45°.

Therefore, the given statement is true.

✦ Try This: An angle is more than 35°. Its complementary angle must be less than 45°. State whether the statement is true or false

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 70

An angle is more than 45°. Its complementary angle must be less than 45°. State whether the statement is true or false

Summary:

The given statement,”An angle is more than 45°. Its complementary angle must be less than 45°” is true

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