Question

find the measure of ∠fly.

Explanation:

Step1: Identify angle - relationship

Assume that the angles \(9x - 7\) and \(8x\) are vertical angles (since no other information about parallel - lines or angle - relationships is given and vertical angles are equal). So we set up the equation \(9x-7 = 8x\).

Step2: Solve for \(x\)

Subtract \(8x\) from both sides of the equation \(9x - 7=8x\). We get \(9x-8x-7=8x - 8x\), which simplifies to \(x - 7=0\). Then add 7 to both sides: \(x=7\).

Step3: Find the measure of \(\angle FLY\)

We need to find the measure of an angle related to the given expressions. If we assume that \(\angle FLY\) is related to the angles \(9x - 7\) or \(8x\) (for example, if they are corresponding, alternate - interior etc., and since we found \(x = 7\)), we can substitute \(x = 7\) into one of the expressions. Let's use \(8x\). The measure of the angle is \(8\times7=56^{\circ}\).

Answer:

\(56^{\circ}\)