Question

the measure of angle zpk is 139°. what is the measure of angle zpg? 41° 49° 66° 107°

Explanation:

Step1: Analyze the relationship between angles

We know that \(\angle ZPK=\angle ZPG + \angle GPK\).

Step2: Substitute the known values

Given \(\angle ZPK = 139^{\circ}\) and \(\angle GPK=73^{\circ}\). Then \(\angle ZPG=\angle ZPK-\angle GPK\).

Step3: Calculate the value of \(\angle ZPG\)

\(\angle ZPG = 139^{\circ}-73^{\circ}=66^{\circ}\)

Answer:

\(66^{\circ}\) (corresponding to the third option)