24-09-2017
Mathematics

contestada

The complement of an angle is one-forth the angle. Find the complement.

Respuesta :

24-09-2017

complimentary angles add to equal 90°.
x + x/4 = 90
4x/4 + x/4 = 90
5x/4 = 90
5x = 4(90)
5x = 360
x = 360/5
x = 72

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TheLazyNobita TheLazyNobita

05-06-2020

Step-by-step explanation:

Complement = 90 - x

Angle = x

Given :

90 - x = x/4

4 (90 - x) = x

x = 360 - 4x

5x = 360

x = 72

Complement = 90 - 72 = 18⁰

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