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BECE Mathematics 2023 Paper

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Question : 25

Total: 40

In the diagram,

A B

C D

A G E

80^{\circ}

C F G=5 k

C F E=r

. Use the information to answer the question below.

What is the value of

r

$16^{\circ}$
$20^{\circ}$
$80^{\circ}$
$160^{\circ}$

Solution:

Concept:

When two parallel lines are cut by a transversal, corresponding angles are equal.

Explanation:

Here,

AB \parallel CD

, and the transversal

GE

meets the parallel lines at

G

and

F

.

So,

\angle AGE

and

\angle CFE

are corresponding angles.

Corresponding angles are equal, so

\angle CFE = \angle AGE

.

Given

\angle AGE = 80^\circ

, we get

r = \angle CFE = 80^\circ

.

Answer:

r = 80^\circ

Therefore, the correct option is C. $80^\circ$ .

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