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melisa1 [442]
2 years ago
12

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.)

Mathematics
1 answer:
Zepler [3.9K]2 years ago
8 0

Answer:

The correct answer is second option 60°

Step-by-step 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°

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