Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

The difference between 2 supplementary angles is 121.54. What are the angle measures?

Sagot :

Answer: 150.77 and 29.23

==============================================

Explanation:

x = larger angle

y = smaller angle

x-y = difference of the angles = 121.54

x-y = 121.54 is one equation

x+y = 180 is the other equation since supplementary angles always add to 180 (they form a straight line).

We have this system we're working with

[tex]\begin{cases}x-y = 121.54\\x+y = 180\end{cases}[/tex]

Add the equations straight down.

  • x+x = 2x
  • -y+y = 0y, the y terms go away
  • 121.54+180 = 301.54

We're left with this reduced equation

2x = 301.54

Divide both sides by 2 to isolate x

x = 301.54/2

x = 150.77

Use this to find the value of y

x-y = 121.54

150.77-y = 121.54

-y = 121.54-150.77

-y = -29.23

y = 29.23

Or we could say

x+y = 180

150.77+y = 180

y = 180-150.77

y = 29.23

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

Summary:

x = 150.77 and y = 29.23 are the two angles.

I'll let you check the answers.

chetankachana

Answer:

150.77° and 29.23°

Step-by-step explanation:

Let:

  • x = the biggest supplementary angle
  • y = the smallest supplementary angle

The sum of the angles is 180*

The difference is 121.54°

The system of equations:

[tex]\left \{ {{x+y=180} \atop {x-y=121.54}} \right.[/tex]

Solve:

  • Eliminate y by adding vertically
  • [tex]\begin{array}{ccc}x+y=180\\+(x-y=121.54)\end/[/tex]
  • 2x + 0 = 301.54
  • 2x = 301.54
  • x = 150.77

Now we know what x is, we can plug it into the first equation to solve for y.

  • x + y = 180
  • 150.77 + y = 180
  • y = 29.23

-Chetan K

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.