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PLs, help me with this geometry question.

PLs, help me with this geometry question.-example-1

1 Answer

4 votes

Answer:

x = 49

Explanation:

The central angle AOB is equal to the measure of the arc that subtends it, so

∠ AOB = 82°

OA = OB ( both radii of the circle ), then Δ AOB is isosceles and the 2 base angles are congruent, then

x =
(180-82)/(2) =
(98)/(2) = 49

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