Question

if $overline{fi}congoverline{hi}$, $mangle fgi = s + 60^{circ}$, and $mangle hgi = 4s$, what is the value of $s$?

Explanation:

Step1: Use congruent - triangle property

Since $\overline{FI}\cong\overline{HI}$, and $\angle FGI$ and $\angle HGI$ are angles related to congruent - side situations (assuming some congruent - triangle context like HL congruence with right - angles shown), we can set the two angle measures equal. So, $s + 60=4s$.

Step2: Solve the equation for s

Subtract $s$ from both sides: $60 = 4s−s$. Simplify the right - hand side to get $60 = 3s$. Then divide both sides by 3: $s=\frac{60}{3}$.

Answer:

$20$