An angle is equal to 8 times its complement. Determine its measure?
Question:

An angle is equal to 8 times its complement. Determine its measure?

Solution:

It is given that required angle = 8 times its complement

Let ‘x’ be the measured angle

angle = 8 times complement

angle = 8 (90 – x)

x = 8(90 – x)

x = 720 – 8x

x + 8x = 720

9x = 720

x = 80

Therefore measured angle is 80.

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