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sum of any 2 angles formed by perpendicular lines
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GPT-4o mini
When two lines are perpendicular to each other, they intersect at a right angle. The angles formed by these two perpendicular lines are:
1. One angle is \(90^\circ\).
2. The other angle is also \(90^\circ\).
Since the two angles are both \(90^\circ\), the sum of these two angles is:
\[
90^\circ + 90^\circ = 180^\circ
\]
In general, when two lines are perpendicular, the sum of any two adjacent angles formed (including any combination of the angles with their respective pairs) will always equal \(180^\circ\) because they create straight lines across the intersection.
1. One angle is \(90^\circ\).
2. The other angle is also \(90^\circ\).
Since the two angles are both \(90^\circ\), the sum of these two angles is:
\[
90^\circ + 90^\circ = 180^\circ
\]
In general, when two lines are perpendicular, the sum of any two adjacent angles formed (including any combination of the angles with their respective pairs) will always equal \(180^\circ\) because they create straight lines across the intersection.
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