Question

if the suppelyment on an angel is 3 times its complement then find the angle​

Answer 1

AnswEr :

• The required angle is 45°.

Explanation :

Let us assume that the required angle be x.

Then,

• Supplement of angle (x) = 180 - x

• Complement of angle (x) = 90 - x

Now,

As per the question,

➝ Supplement of x = 3 × Complement of x

➝ 180 - x = 3 × (90 - x)

➝ 180 - x = 270 - 3x

➝ -x + 3x = 270 - 180

➝ 2x = 90

➝ x = 45° [ Required angle ]

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$\dag \ {\large{\underline{\underline{\sf{\orange{Additional \ Information :}}}}}}$

• Any 2 angles are said to be complementary if their measures add to 90 degree .

• ∠A + ∠B = 90°

• Any 2 angles are said to be supplementary if their measures add up to 180 degree .

• ∠A + ∠B = 180°

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