A triangular playground has angles with measures in the ratio 8 : 7 : 5. What is the measure of the smallest angle
180° * [ 5 / ( 8 + 7 + 5 ) ] =
180° * ( 5 / 20 ) =
180° * 1 / 4 = 45°
Well, if the ratio of the angles is 8:7:5, let's assign some values to them. Let's say the angles are 8x, 7x, and 5x. Now, we know that the sum of the angles in a triangle is 180 degrees. So, 8x + 7x + 5x = 180. If we solve this equation, we find that x = 10.
Now, we can substitute x back into the equation to find the measures of each angle. The smallest angle would be 5x, so 5 * 10 = 50 degrees.
So, the measure of the smallest angle in this triangular playground is 50 degrees. Just remember, even though it's the smallest angle, it's still an angle worth playing around with!
To find the measure of the smallest angle in a triangular playground with angles in the ratio 8:7:5, we need to determine the values of each angle.
Let's assume the measures of the three angles are 8x, 7x, and 5x (multiplying by x to scale the ratio).
According to the problem, the sum of the measures of the angles in any triangle is 180 degrees.
So, we can set up the equation: 8x + 7x + 5x = 180.
Combining like terms, we have 20x = 180.
Dividing both sides by 20, we find x = 9.
To determine the measure of the smallest angle, we can substitute x back into the equation.
The smallest angle = 5x = 5 * 9 = 45 degrees.
Therefore, the measure of the smallest angle in the triangular playground is 45 degrees.
To find the measure of the smallest angle in the triangular playground, we first need to determine the exact value of the ratio between the angles.
Let's call the measures of the angles in the ratio 8x, 7x, and 5x, where x is a constant.
To find the value of x, we can set up an equation using the fact that the sum of the measures of angles in a triangle is always 180 degrees. In this case, we have:
8x + 7x + 5x = 180
Combining like terms, we can simplify this equation to:
20x = 180
Dividing both sides of the equation by 20, we get:
x = 180 / 20
x = 9
Now that we have the value of x, we can find the measures of the three angles:
The measure of the smallest angle is 5x = 5 * 9 = 45 degrees.
Therefore, the measure of the smallest angle in the triangular playground is 45 degrees.