Question

three times the complement of an angle is 20 more than its supplement find the angle

Answer 1

Hi there !!
Here's your answer

Let the angle be x

Supplement of the angle = 180 - x
Complement of the angle = 90 - x

Given that ,
3 times the complement of the angle = 20° more than it's supplement.
So,

The following balanced equation will be formed

180 - x + 20 = 3(90 - x)

200 - x = 270 - 3x

-x + 3x = 270 - 200

2x = 70

x = 70/2 = 35


So,
the angle is 35°

Answer 2

Heya...

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Let The Given Angle by s

Then, 

Supplement of the angle = 180 - s

Complement of the angle = 90 - s

According to the question,

3 times the complement of the angle = 20° more than it's supplement.

Hence, From This we can clearly infer that;

3 times of complement angle = 3(90-s)

20 more than supplement = 20 + (180-s)

3(90-s) = 20 + 180-s

 270 - 3s= 200 -s

 270 - 200-3s = -s

70 = -s+3s

70 = 2s

70/2 =s

Hence,

s is 35°

But, s is angle, hence, angle is 35 degree

Supplement = 180-s = 180-35 = 145

Complement = 90-s = 90-35 = 55

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Hope This Helps....!!!

Thanks...

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