Question

Find the measure of an angle which forms a pair of supplementary angles with itself

Answer 1

Answer :-

let, the measures of the angles be x.

According to question, supplement of x = x

• •

• x = x

• •

• = sum of supplement = 180 °

• •

• = x + x =180° = 2x = 180 °

x = 180/2 =90° Ans.

Answer 2

The measure of an angle that forms a pair of supplementary angles with itself is 90°.

Given,

An angle forms a pair of supplementary angles with itself.

To find,

The measure of the angle.

Solution,

The two angles are said to be supplementary when the sum of these two angles is equal to 180°.

Say, a and b are 2 angles that form a pair of supplementary angles, then,

a + b = 180°.

Here, it is given that an angle forms a pair of supplementary angles with itself.

Let such an angle be x.

So, we will have,

x + x = 180

⇒ 2x = 180

⇒ x = 180/2

⇒ x = 90°.

Therefore, the measure of an angle that forms a pair of supplementary angles with itself is 90°.

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