Answer:
Measure of smallest angle will be 27 degrees.
Step-by-step explanation:
We are told that a triangular playground has angles with measures in the ratio 8:3:9 and we are asked to find out measure of smallest angle.
Since we know by the angle sum property that angles in a triangle add up to 180 degrees.
We can set an equation from our given ratio as:
[tex]8x+3x+9x=180^{o}[/tex]
[tex]20x=180[/tex]
[tex]x=\frac{180}{20}[/tex]
[tex]x=9[/tex]
Now we will find measure of our smallest angle by multiplying 3 by 9 as 3x will be smallest angle of our triangle.
[tex]3*9=27[/tex]
Therefore, measure of the smallest angle will be 27 degrees.
