cgrodner1 cgrodner1
  • 12-09-2019
  • Mathematics
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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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eduthadeurodrigues
eduthadeurodrigues eduthadeurodrigues
  • 12-09-2019

Answer:

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.

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