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Georgia [21]
3 years ago
12

The measure of the angle is 44 times greater than its supplement.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer: The measure of it's supplement is 4°

Step-by-step explanation:

If an angle is 44 times is supplement, then we can represent it by the equation   x = 44y    where  x is the angle and y is it's supplement.

Supplementary angles add up to 180 degrees, meaning that  x + y = 180.

  x = 44y  

x + y = 180  

Using both equations substitute the value for x in the first equation, into the second equation and solve for y.

 

44y + y = 180           Combine like terms on the left side

   45y = 180        Divide both sides   45

 y = 4  

This means the measure of it's supplement is 4 degrees.

Now input 4 into one of the equations for  y and solve for x to find the main angle.

x = 44(4)

x = 176  

This also means that the angle itself is 176 degrees.

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