Question

A triangular playground has angles with measures in the ratio 8:3:9. What is the measure of the smallest angle? I need an explanation as well as amy answer

Answer 1

Measure of smallest angle will be 27 degrees.

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:

`8x+3x+9x=180^(o)`

`20x=180`

`x=(180)/(20)`

`x=9`

Now we will find measure of our smallest angle by multiplying 3 by 9 as 3x will be smallest angle of our triangle.

`3*9=27`

Therefore, measure of the smallest angle will be 27 degrees.