Question

kite fghik is shown. what is the value of m? o m=2 o m=3 o m=15 o m=16

Explanation:

Step1: Recall kite property

In a kite, two pairs of adjacent - sides are equal. Here, \(FG = FK\) and \(GH=HK\). So, we set up the equation based on the equal - length sides \(5m + 1=3m + 7\).

Step2: Solve the equation for \(m\)

Subtract \(3m\) from both sides: \(5m-3m + 1=3m-3m + 7\), which simplifies to \(2m+1 = 7\). Then subtract 1 from both sides: \(2m+1 - 1=7 - 1\), getting \(2m=6\). Divide both sides by 2: \(\frac{2m}{2}=\frac{6}{2}\), so \(m = 3\).

Answer:

\(m = 3\)