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WAEC Mathematics 2021 Paper

Question : 39

Total: 49

\overline{EC}

Solution:

Concept:

Use the angle in a semicircle property and the rule that angles in the same segment are equal.

Explanation:

Since

\overline{EC}

is a diameter,

\angle EBC = 90^\circ

Given

\angle ABC = 158^\circ

So,

\angle ABE = \angle ABC - \angle EBC = 158^\circ - 90^\circ = 68^\circ

Now,

\angle ABE

and

\angle ADE

lie in the same segment because they subtend the same chord

\overline{AE}

Therefore,

\angle ADE = \angle ABE = 68^\circ

Answer:

\angle ADE = 68^\circ

, so the correct option is C.

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