Question

kite fgh k is shown. what is the value of m? ( m = 2 ) ( m = 3 ) ( m = 15 ) ( m = 16 )

Explanation:

Step1: Use the property of a kite

In a kite, two pairs of adjacent sides are equal. Here, \(GH = KH\), so \(5m + 1=3m + 7\).

Step2: Solve the equation for \(m\)

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

Answer:

\(m = 3\) (the second option)