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Question

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\overleftrightarrow{ab} is perpendicular to \overleftrightarrow{cd}. how many 90° angles are formed by the intersection?

Explanation:

Step1: Recall the property of perpendicular lines

When two lines are perpendicular, they intersect at right angles.

Step2: Count the number of angles formed

When \(\overleftrightarrow{AB}\) intersects \(\overleftrightarrow{CD}\) perpendicularly, 4 angles are formed at the intersection point. Each of these angles is \(90^{\circ}\) because of the perpendicularity property.

Answer:

4