The measure of a complement is 1/4 of the measure of its angle. How do you find the angle measure?

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Answer 1 · 2017-11-16T19:17:54

72

An angle's complement, when added to the angle itself, sums to 90 degrees (#pi/2# radians).

So you have

#x + 1/4x = 90#

#4/4 x + 1/4 x = 90#

#5/4 x = 90#

#x = 90 * 4/5 = 360/5 = 72#

...CHECK YOUR WORK:

The complement must be 18.

Does 18 * 4 = 72? Yes. Yes it does. So you're good.

GOOD LUCK