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Cerrena [4.2K]
3 years ago
7

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

ation as well as amy answer
Mathematics
1 answer:
frozen [14]3 years ago
4 0

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:

8x+3x+9x=180^{o}

20x=180

x=\frac{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.

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