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How do I solve this. Please explain your method.

How do I solve this. Please explain your method.-example-1
User Hanky
by
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1 Answer

1 vote

Answer:

x > 90 > y

Explanation:

You want to know the relationship of the central angles in a rectangle where the diagonals cross.

Angle relations

Assuming we can trust the figure (not always a good idea), we notice that x° is an obtuse angle and y° is an acute angle. (The angle opposite the longer side in this geometry will always be obtuse.)

This means ...

x° > 90°

90° > y°

The two angles form a linear pair, so their sum is 180°.

The correct description is ...

x > 90 > y

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Additional comment

If the diagonals crossed at right angles, the rectangle would be a square.

User Shams Sujon
by
5.1k points