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An angle measures 130.8° more than the measure of its supplementary angle. What is the measure of each angle

Sagot :

devishri1977

Answer:

The angles are 24.6° and 155.4°

Step-by-step explanation:

Supplementary angles:

Supplementary angles add up to 180°

Let the measure of the supplementary angle = x

So, the angle is 130.8 more than 'x'

     The angle = x + 130.8

The angles are supplementary.

x + (x + 130.8) = 180

x + x + 130.8 = 180

  2x + 130.8  = 180

                2x = 180 - 130.8

                 2x = 49.2

                   x = 49.2/2

                   x = 24.6

x + 130.8 = 24.6 + 130.8

                =  155.4

The angles are 24.6° and 155.4°

 

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

An angle measures 130.8º more than its supplementary angle. What is the measure of each angle?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Supplementary angles add up to 180º.

In order to find the unknown angles, we should first let the angle be x.

Set up an equation:-

(remember, there are 2 angles, x and x+130.8):-

x+x+130.8=180

Add the x's:-

2x+130.8=180

Subtract 130.8 from both sides:-

2x=49.2

Divide by 2 on both sides:-

x=24.6º

To find the other angle, add 130.8º:-

24.6+130.8=155.4º

Second angle=155.4º

Now, we need to make sure our solution is correct.

We can easily check it by adding both angles together and seeing whether or not we end up with 180:-

155.4+24.6=180

180=180

Since the left-hand side equals the right-hand side, our solution is indeed correct.

The angles are 24.6º and 155.4º

Good luck.

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