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BECE Mathematics 2022 Paper

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Question : 18

Total: 40

In the diagram,

A B

D E

A B C = 81^{\circ}

D C E = 20^{\circ}

Use the information to answer the question below:

What is the value of

x

$\;\; A .20^{\circ}$
$\;\; 61^{\circ}$
$81^{\circ}$
$\;\; 101^{\circ}$

Solution:

You have to use the property of alternate angles of parallel lines

Alternate angles are equal:

Sometimes called

Z

angles

We can often spot interior alternate angles by drawing a

Z

shape

From the diagram above, angle

A B C =

angle

C D E = x

(Alternate angles)

Angle

B A C = y = D E C

(Alternate angles)

Angle

A B C =

angle

C D E = x

(Alternate angles)

Angle

A B C = 81^{\circ}, \therefore x = 81^{\circ}

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