Question

How do I find angles c,g and k

Answer 1

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