Question

consider kite fghj. what are the values of a and b? a = 14, b = 6 a = 14, b = 8 a = 17, b = 6 a = 17, b = 8

Explanation:

Step1: Use the property of a kite (adjacent sides are equal)

In a kite, two pairs of adjacent sides are equal. So, \(2a - 4=30\) and \(3b + 6 = 24\).

Step2: Solve for \(a\)

For \(2a-4 = 30\), add \(4\) to both sides: \(2a=30 + 4=34\). Then divide both sides by \(2\): \(a=\frac{34}{2}=17\).

Step3: Solve for \(b\)

For \(3b + 6=24\), subtract \(6\) from both sides: \(3b=24 - 6 = 18\). Then divide both sides by \(3\): \(b=\frac{18}{3}=6\).

Answer:

\(a = 17,b = 6\) (i.e., the option \(a = 17,b = 6\))