Find the angle which is equal to its complement

Solution:

Complementary angles are those angles that add up to 90 degrees.

Let the angle be 𝑥.

Therefore, the complement of this angle will also be 𝑥. [Since, its given that the angle is equal to its complement]

We know that the sum of the measure of pair of complementary angles is 90°.

𝑥 + 𝑥 = 90°.

2𝑥 = 90°.

𝑥 = 90°/ 2

𝑥 = 45°.

Thus, the angle which is equal to its complement is 45°.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 5

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Video Solution:

Find the angle which is equal to its complement

NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.1 Question 4

Summary:

The angle which is equal to its complement is 45°

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