Question

a triangular playground has angles with measures in the ratio 8:6:4. what is the measure of the smallest angle?
5
40
20
30
question 18
3.4 pts
the folding chair has different settings that change the angles formed by its parts. suppose (mangle2) is 34 and (mangle3) is 76. find (mangle1). the diagram is not to scale.

Explanation:

Step1: Set up the equation for the angles of a triangle

Let the angles of the triangle be $8x$, $6x$, and $4x$. Since the sum of the interior angles of a triangle is $180^{\circ}$, we have the equation $8x + 6x+4x=180$.

Step2: Combine like - terms

Combining the $x$ terms on the left - hand side gives $18x = 180$.

Step3: Solve for $x$

Dividing both sides of the equation $18x = 180$ by 18, we get $x=\frac{180}{18}=10$.

Step4: Find the measure of the smallest angle

The smallest angle is $4x$. Substituting $x = 10$ into $4x$, we get $4\times10 = 40$.

Answer:

40