Question

find the complement of 23°​

Answer 1

Answer :-

• The complement of 23° is 67°.

To find :-

• The complement of 23°.

Step-by-step explanation :-

• In this question, we have to find the complement of 23°.

We know that :-

$\underline{\boxed{\sf Complementary \:angles \:add \:up\: to\: 90^{\circ}}}$

• The angles are complementary, because only they can have complements.

• One of the angles is 23°.

• Let the other angle be x.

• Now the sum of these angles must be equal to 90°.

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Hence,

$\sf x + 23^{\circ} = 90^{\circ}$

Transposing 23 from LHS to RHS, changing it's sign,

$\sf x = 90^{\circ} - 23^{\circ}$

Subtracting 23 from 90,

$\overline{\boxed{\sf x = 67^{\circ}}}$

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• Hence, the complement of 23° is 67°.

Answer 2

sum of two complementary angles = 90⁰

let the other complementary angle be = x

x + 23⁰ = 90⁰

x = 90⁰ - 23⁰

= 67⁰

Tthe complement of 23° = 67⁰