Angles h and the one whose measure equals 97° are supplementary angles, this means that their measures sum up to 180°, then we can formulate the following expression:
h + 97° = 180°
From this equation, we can solve for h to get:
h + 97° - 97° = 180° - 97°
h + 0 = 180° - 97°
h = 83°
Angles g and the one whose measure equals 97° are vertical angles since they're located at opposite sides of intersecting lines, this kind of angles are congruent, then their measures are the same, then:
g = 97°
Similarly, m and the angle whose measure equals 66° are supplementary angles, then:
m + 66° = 180°
m + 66° - 66° = 180° - 66°
m = 180° - 66°
m = 114°
Angles k and the one whose measure equals 66° are vertical angles, then:
k = 66°