Answer :

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°.

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