Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Angles Q & R are supplementary. If angle Q=4x+9 & R=8x+3, what is the measure of each angle?

Sagot :

4x+9+8x+3=180
12x+12=180
12x=180-12
12x=168
x=168/12
x=14

1. Q= 4x+9
          4(14) +9
         56+9
    Q= 65
2. R= 8x+3
         8(14) +3
       112+3
    R= 115 




Lanuel

The measure of each angle is equal to 65° and 115° respectively.

Given the following data:

  • Angle Q = 4x + 9
  • Angle Q = 8x + 3

To determine the measure of each angle:

What is a supplementary angle?

A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.

Mathematically, a supplementary angle is calculated as follows:

[tex]Q+R=180\\\\4x+9+8x+3=180\\\\12x+12=180\\\\12x=180-12\\\\12x=168\\\\x=\frac{168}{12}[/tex]

x = 14

For angle Q:

[tex]Q=4x+9\\\\Q=4(14)+9\\\\Q=56+9[/tex]

Q = 65°.

For angle R:

[tex]R=8x+3\\\\Q=8(14)+3\\\\Q=112+3[/tex]

R = 115°.

Read more on supplementary angle here: https://brainly.com/question/10335289

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.