The measure of the complement of an angle is 14 less than half the measure of its supplement. Find the angle.

Question

Mathematics

Haylie Matthews

10 December, 08:38

The measure of the complement of an angle is 14 less than half the measure of its supplement. Find the angle.

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Answers (1)

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Myers · Answer 1

The angle is 28.

Step-by-step explanation:

If we consider the system below (were "A"is the angle):

A + [ (x/2) - 14] = 90 (complement)

A + x = 180 (suplement)

We can isolate "X=180 - A" and apply this in the first equation. This way we are able to have only one variable, and w'll see that A=28.