# An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?

**Solution:**

We use the basic concept of supplementary angles adding up to 180 degrees to solve the question.

Let us represent the angle by ∠1 and its complement angle by ∠2. Let’s visually model this problem. There are two operations done in sequence. First, take ∠1 > 45° as it is given, and then add ∠ 2 to both sides of the equation. According to this model, the result is equal to ∠1 + ∠2 > 45 ° + ∠2. Now, it’s a matter of finding, Is its complementary angle greater than 45° or equal to 45° or less than 45°.

Let there be two angles ∠ 1 and ∠ 2 .

Therefore, ∠1 > 45° (given)

Adding ∠2 to both sides ,we get

∠1 + ∠2 > 45° + ∠2

90° > 45° + ∠2

90° - 45° > ∠2

45° > ∠2

Therefore, its complementary angle will be less than 45°.

**Video Solution:**

## An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45° ?

### NCERT Solutions for Class 7 Maths - Chapter 5 Exercise 5.1 Question 8

An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45° ?

The complementary angle of the given angle will be less than 45