Answer:
a. m<C = 50 deg
b. m<G = 125 deg
c. m<K = 75 deg
Step-by-step explanation:
a.
Look at the two lines marked parallel with 2 marks each.
Angle C and angle 50 deg are alternate interior angles of 2 parallel lines cut by a transversal That makes angle C congruent to the 50-deg angle.
Answer: m<C = 50 deg
b.
Angle G is vertical to thh 125-deg angle. Vertical angles are congruent, so m<G = 125 deg
Answer: m<G = 125 deg
c.
Look at the two lines marked parallel with one mark each.
Angles e and c are corresponding angles, so they are congruent.
m<E = m<C = 50 deg
The 125 deg angle and angle F are a linear pair, so their measures add up to 180.
f + 125 = 180
m<F = 55 deg
Angles E, F and K are the interior angles of a triangle, so their measures add up to 180 deg.
e + f + k = 180
50 + 55 + k = 180
k = 75
m<K = 75 deg
