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

Answer 1

72

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

Thus, you possess

#x + 1/4x = 90#
#4/4 x + 1/4 x = 90#
#5/4 x = 90#
#x = 90 * 4/5 = 360/5 = 72#

Examine your work:

18 is the required complement.

Is 18 * 4 = 72? Yes, that is correct. You are in the clear.

GOOD LUCK

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Answer 2

Let the measure of the angle be x degrees. The complement of the angle will then be (90 - x) degrees. According to the given information, the measure of the complement is 1/4 of the measure of the angle:

(90 - x) = (1/4)x

Solving for x:

90 - x = (1/4)x 90 = (5/4)x x = (4/5) * 90 x = 72

So, the angle measure is 72 degrees.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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