What is the angle of the measurement whose angle is 4 times its complement?

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13-11-2017
Mathematics

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What is the angle of the measurement whose angle is 4 times its complement?

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swaggernaut swaggernaut · Answer 1 · 2017-11-13T06:02:25+01:00

swaggernaut swaggernaut

13-11-2017

Let the angle be x
supplementary = 180 - x
complementary = 90 - x

As per the given data:
4(90 - x) = 180 - x
360 - 4x = 180 - x
360 - 180 - 4x = -x
180 - 4x = - x
180 = 4x - x
180 = 3x
180/3 = x
x = 60

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TheLazyNobita TheLazyNobita · Answer 2 · 2020-06-06T09:26:22+02:00

TheLazyNobita TheLazyNobita

06-06-2020

Answer:

72⁰

Step-by-step explanation:

Angle = x

Complement = 90 - x

Given :

x = 4 (90 - x)

x = 360 - 4x

5x = 360

x = 72⁰

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