Test Index

BECE Mathematics 2010 Paper

Question : 37

Total: 40

Solution:

Concept:

A straight angle is

180^\circ

, and bisecting it repeatedly gives angles like

90^\circ

and

45^\circ

Explanation:

A straight line forms an angle of

180^\circ

The first arc at point D bisects this

180^\circ

into two equal parts.

So each angle formed is

\frac{180^\circ}{2} = 90^\circ

The arc at point C then bisects this

90^\circ

angle into two equal parts.

Therefore, the angle constructed using the arc at point C is

\frac{90^\circ}{2} = 45^\circ

Answer:

45^\circ

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