Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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 appreciate your time. Please revisit us for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.