Question

Find the Supplement of 105°​

Answer 1

Answer:

75° is the supplement of "105".

Answer 2

$\sf\underbrace{Question:}$

Find the Supplement of 105°

$\sf\Large{\underline{\underline{Answer:-}}}$

We know that,

The pairs of two such Angles whose sum is 180° are called supplementary. Each Angle is called a supplement of the other.

So,

• One supplement is 105°

• Let the other supplement be x.

${\bold\blue{Therefore,}}$

105° + x = 180°

x = 180° - 105°

x = 75°

∴ The supplement of 105° is 75°

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$\boxed{\fcolorbox{orange}{green}{ADDITIONAL-INFORMATION}}$

Pairs of Angles:-

✢ Adjacent angles

If two angles have

i). a common arm,

ii). a common vertex and

iii). their other arms lie on the opposite sides of the common arm, then the angles are called adjacent angles.

⠀

✢ Linear pair of Angles

If a ray stands on a line, then the two adjacent Angles so formed are called linear pair of Angles.

⠀

✢ Complementary angles

If the sum of the measure of two angles is 90°, then the angles are called Complementary Angles and each angle is called a complement.

Eg: 60° + 30° = 90°

⠀

✢ Supplementary angles

The angles are said to be Supplementary, if the sum of their measures is 180°. Each Angle is called a supplement of the other.

Eg: 150° + 30° = 180°

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