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25 votes
The figure is not drawn to scale. ABCD is a rectangle and AC and BD are diagonals. The ratio of

The figure is not drawn to scale. ABCD is a rectangle and AC and BD are diagonals-example-1
User Mats Petersson
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2.7k points

1 Answer

23 votes
23 votes

If we take the measures of the angles p and q as x, we will notice that the angles m and n correspond to 5x and since it is a straight line, it must be 5x = 180 °

solving for x we obtain 36 °

and since the measures of p q and the angle we are looking for are a rectangle, they must add 90 °

To find the unknown measure we can subtract the measures of the angles p and q from 90 °, this is 90-36-36

The measure of the EBF angle must be 18°.

The figure is not drawn to scale. ABCD is a rectangle and AC and BD are diagonals-example-1
User Kevin Craft
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2.9k points
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