A triangular playground has angles with measures in the ration 8:4:6. What is the measure of the smallest angle?

1 answer

The ratio of the measures of the angles can be expressed as 8x:4x:6x, where x is a positive number.

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

So, 8x + 4x + 6x = 180.

Combining like terms, we have 18x = 180.

Dividing both sides by 18, we get x = 10.

Therefore, the measures of the angles are 8x = 80 degrees, 4x = 40 degrees, and 6x = 60 degrees.

The smallest angle is 40 degrees.