Question

if an complement of an angle is 1/4 of its supplement then find the angle

Answer 1

Let angle be x.

Now,

Complement of angle will be 90-x .

And, Supplement of the angle = 180- x.

As per the question,

90-x = 1/4(180-x)

4(90-x) = 180-x

360 - 4x = 180 - x

3x = 180

x = 60.

So, the required angle will be 60°.

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Answer 2

Hey here is your answer ⤵⤵⤵⤵

Let the angle be x

Now the complement =90-x

Then the supplement =180-x

Now according to question

⏩⏩
$90 - x = \frac{1}{4} (180 - x)$

⏩⏩
$90 - x = 45 - \frac{1}{4}x$

⏩⏩
$90 - 45 = - \frac{1}{4}x + x$

⏩⏩
$45 = \frac{3}{4} x$

⏩⏩
$3x = 4 \times 45$

⏩⏩x=60°


❤hope it helps you ❤

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