Question

Find the measure of an angle which is complement of itself

Answer 1

45° is the angle which is complement to itself..

Answer 2

# Solution -

Let the measure of the angle be β.

The measure of its complement is given to be β°.

Since, the sum of measures of an angle and its complement is 90°.

We have,

➟ β + β = 90°

➟ 2β = 90°

➟ β = 90° /2 = 45° _______[ANSWER]

# Extra Information -

Two angles, the sum of whose measure s is 90°, are called complementary angles.

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Thus, Angle BAX and Angle XAC are complementary angles, if x + y = 90°