Question

question 17 a triangular playground has angles with measures in the ratio 8:6:4. what measure of the smallest angle? 20 30 5 40

Explanation:

Step1: Let the angles be 8x, 6x and 4x.

Since the sum of angles in a triangle is 180 degrees, we have the equation 8x + 6x+4x = 180.

Step2: Combine like - terms.

18x = 180.

Step3: Solve for x.

x=\frac{180}{18}=10.

Step4: Find the measure of the smallest angle.

The smallest angle is 4x. Substitute x = 10 into 4x, we get 4×10 = 40 degrees.

Answer:

40