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23. In the figure, A, B, E and C are points on the circle.
AE is the diameter of the circle and AD is the height
of ABC.
Given that CAD = 18°, find BAE.​

23. In the figure, A, B, E and C are points on the circle.AE is the diameter of the circle and AD is the heightof ABC.Given that CAD = 18°, find BAE.​ class=

Answer :

sqdancefan

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Answer:

  18°

Step-by-step explanation:

Angle ACD is the complement of the 18° angle shown, 72°. Arc AB is double that measure, so is 144°. Arc BE is the supplement to that, so is 36°. This is the arc subtended by inscribed angle BAE. That inscribed angle is half the measure of arc BE, so is 36°/2 = 18°.

  angle BAE = 18°

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