Question

use the image below to find the requested values.
find the measure of ∠mkf.

Explanation:

Step1: Use the property of adjacent angles on a straight line

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(103^{\circ}+7g^{\circ}=180^{\circ}\).

Step2: Solve for \(g\)

Subtract \(103^{\circ}\) from both sides of the equation: \(7g = 180 - 103\), \(7g=77\), then \(g = 11\).

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

Since \(\angle MKF=(7g)^{\circ}\) and \(g = 11\), then \(\angle MKF=7\times11^{\circ}=77^{\circ}\).

Answer:

\(77^{\circ}\)