Question

a triangle playground has angels with measures the ratio 8:3:9 what is the measure of the smallest angle

Answer 1

Let's assume that the measures of the angles in the triangle are 8x, 3x, and 9x, where x is a common factor.

The sum of the measures of the angles in a triangle is always 180 degrees.

So, we can write the equation:
8x + 3x + 9x = 180

Combining like terms, we get:
20x = 180

Dividing both sides by 20, we find:
x = 9

Now, let's substitute x back into the equation to find the measures of each angle:
Smallest angle = 3x = 3(9) = <<3*9=27>>27

Therefore, the measure of the smallest angle is 27 degrees.