Question

find the difference between the supplementary angle and the complementary angle of the angle of measure 75°.
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Answer 1

Answer :-

The difference between the supplementary angle and the complementary angle of 75° is 90°.

Step-by-step explanation

To Find :-

• The difference between the supplementary angle and the complementary angle of 75°

★ Solution

◍ Given angle is 75°

Finding, the complementary angle :-

As we know that,

If the sum of angles measure upto 90°, then the angle is called complementary angle.

Let us assume the other complementary angle as (x)°,

∴ x° + 75° = 90°

→ x + 75 = 90

→ x = 90 - 75

→ x = 15°

Finding, supplementary angle :-

If the sum of angles measure upto 180°, then the angle is called supplementary angle.

Let us assume the other supplementart angle as (y)°,

∴ y° + 75° = 180°

→ y + 75 = 180

→ y = 180 - 75

→ y = 105°

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According the question,

The difference between the supplementary and complementary angle :-

→ 105° - 15°

→ 90°

Hence, The required number is 90°.

Answer 2

Answer:

$\sf Diference \: between \: supplementary \: \sf angleI \: and \\\sf\: complementary \: angle \sf \: o f\:the \: angle \: 75° \: \: is\: \:90°$

Explanation :

$</p><p></p><p> \green{ \odot \: \sf \: Supplementary \: angle \: of \: \: 75° \: is }\: \\ </p><p></p><p> \green{ \sf = 180° - 75 °}\\</p><p></p><p> \green{ \sf \: = 105°}\\ \\ </p><p></p><p> \pink{ \odot \: \sf \: Complementry \: angle \: of \: 75° \: \: is}\\</p><p></p><p> \pink{ \sf \: = 90° - 75 ° }\\</p><p></p><p> \pink{ \sf= 15°}\\ \\ \\ </p><p></p><p> \sf \therefore Diference \: between \: supplementary \: \\ \: \: \: \sf angleI \: and \: complementary \: angle \\ \sf \: \: \: o f\:the \: angle \: 75° \: \: is \: \\ \\ </p><p></p><p> \sf = \green{ 105 ° }- \pink{15°}\\</p><p></p><p> \orange{ \sf= 90°}$