Find the measure of arc EC.
a) 50
b) 70
c) 100
d) 140

Answer:
a) 50
Step-by-step explanation:
The angle formed by two chords is the average of the arc angles.
7x = (5x + 90) / 2
14x = 5x + 90
9x = 90
x = 10
So the measure of arc EC is 5x = 50°.
The measure of arc EC is a) 50
The angle of a complete circle is 360°
The angle formed by two chords angle= arc/radius
⇒7x = (5x + 90) / 2
⇒14x = 5x + 90
⇒ 9x = 90
⇒x = 10
So the arc EC is 5x = 50°.
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