Question

Find the measure of arc EC.

Circle A with chords EF and CD that intersect at point G, the measure of arc EC is 5x degrees, the measure of angle EGC is 7x degrees, and the measure of arc DF is 90 degrees.

Answer 1

These are the answer choices
50°
70°
100°
140°

Answer 2

Find the measure of angle EGC. This will help to find the value of x. Then use it to find the measure of arc EC

Answer 3

(5x + 90)/2 = 7x
5x + 90 = 14x
9x = 90
x = 10

Answer 4

mEC = 5x