Question

Solve for the indicated arc or angle in the diagram and match it to the correct solution at the bottom of the page.

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Answer 1

106°

Explanation:

The angle CAB is an inscribed angle of the arc mBC, so we have that:

mBC = 2*CAB

So we have that mBC = 2*37 = 74°

The segment AC is a diameter of the circle, so mAC = 180°

The ? angle is the arc mAB, which is the difference of mAC and mBC, so:

mAB = mAC - mBC = 180 - 74 = 106°

So the ? angle is 106°.