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
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
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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