Question

Here are some facts about the baseball field shown here:

• ABCD is the baseball "diamond," a square

measuring 90 feet on a side.

• Points A, B, E, H are collinear.

• The distance from third base (Point B) to the left

field fence (Point E) equals the distance from first

base (point D) to the right field fence (Point G)

Answer 1

It can be deduced from the information given that the value of angle F in the quadrilateral is 90°.

How to solve the angle

From the complete information given, ABCD is the baseball "diamond," a square measuring 90 feet on a side and points A, B, E, H are collinear.

In this case, in a cyclic quadrilateral, the sum of a pair of opposite angles is 180° since it's supplementary. Therefore,

F + 90° = 180°

F = 180° - 90°

F = 90°

In conclusion, F is 90°.

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