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.

Let's take ∠1 > 45° as given in the question, and then add ∠ 2 to both sides of the equation.

Adding ∠2 to both sides, we get∠1 + ∠2 > 45° + ∠2 

90° > 45° + ∠2 [Since, ∠1 + ∠2 = 90°]

90° - 45° > ∠2

45° > ∠2

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

☛ Check: NCERT Solutions for Class 7 Maths Chapter 5

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

Summary:

An angle is greater than 45°. The complementary angle of the given angle will be less than 45°.

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