The measure of angle AOC is 70°. (Correct choice: B)
Determination of an angle in a circle-triangle system
Given the triangles AOC and BOC are congruent, then OA and OB are also congruent and both represent the circle radius, By Geometry we know that an angle made two radii that are part of two congruent triangles has the following measure:
[tex]m \angle AOB = 2\cdot x[/tex] (1)
Where [tex]x[/tex] is the measure of angle BOC, in degrees.
And the measure of the angle AOC is: ([tex]x = 70^{\circ}[/tex])
[tex]\angle AOC = 70^{\circ}[/tex]
The measure of angle AOC is 70°. (Correct choice: B) [tex]\blacksquare[/tex]
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