Question

solve for x
setup:
setup:
x=

Explanation:

Step1: Identify the triangle type

Since all side - lengths of $\triangle DEF$ are 5, it is an equilateral triangle. In an equilateral triangle, each interior angle is 60°.

Step2: Set up the equation

We know that the measure of angle $F$ is $3x^{\circ}$, and for an equilateral triangle, the measure of angle $F = 60^{\circ}$. So we set up the equation $3x=60$.

Step3: Solve the equation for x

Divide both sides of the equation $3x = 60$ by 3. We get $x=\frac{60}{3}=20$.

Answer:

Setup: $3x = 60$
$x = 20$