Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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°

 

                 - - - - -- - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - -- - - - - -

[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.

              - - - - - -- - - - - - - - - -- - - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - - - -

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.