Question

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.​

Answer 1

9514 1404 393

Answer:

18°

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°