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Help me find x please​

Help me find x please​-example-1

1 Answer

6 votes

Answer:

132°

Explanation:

An inscribed angle is half the measure of the arc it subtends. This means arc CB is twice the measure of inscribed angle CAB, so ...

arc CB = 2×∠CAB = 2×40° = 80°

Arc AC is twice the measure of inscribed angle ABC, so ...

arc AC = 2×∠ABC = 2×26° = 52°

The measure of central angle AOB is the same as the measure of arc AB.

x = ∠AOB = arcs AC +arc CB = 52° +80°

x = 132°

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