Each of the pairs of oppositeanglesmade by twointersectinglines is called averticalangle.Themeasureof ∠AOE is132°.The correct option is B.What are vertical angles?Each of the pairs ofoppositeanglesmade by twointersectinglines is called avertical angle.In circle O, AD and BE arediameters.Also, the measure of ∠EOD and ∠AOB will be equal because the two angles areverticallyoppositeangles. Therefore,∠EOD = ∠AOB = 3xAs it is given that themeasureof ∠AOC is 90°. Therefore, we can write,∠AOC = ∠AOB + ∠BOC90 = 3x + 0.5x + 3456 = 3.5xx = 16Now, themeasureof∠EODwill be,∠EOD = 3x∠EOD = 3(16°)∠EOD = 48°Further, we can write,∠AOD = ∠AOE + ∠EOD180° = ∠AOE + 48°∠AOE = 132°The complete question ismentionedin the below image.Learn more aboutVertical Angles:brainly.com/question/24460838#SPJ2...

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