Question

BD is tangent to circle O at C, m(arc AEC) = 280, and m(arc ACE) = 140. Find m (The figure is not drawn to scale.)

Answer 1

The correct answer is second option 60°

Explanation:

From the figure we can write,

measure of arc AEC = measure of arc AE + measure of CE

measure of arc ACE = measure of AC + measure of CE

measure of arc AEC + measure of arc ACE = 280 + 140 = 420°

measure of arc AE + measure of CE + measure of AC + measure of CE = 420

measure of arc AE + measure of CE + measure of AC = 360°

measure of CE = 420 - 360 = 60°

The correct answer is second option 60°