How opposite angles are equal ? reason?
Opposite angles are equal
Explanation:
• In geometry, opposite angles are angles that are formed by two intersecting lines.
• When two lines intersect, they form two pairs of opposite angles, which are located across from each other at the intersection point.
• Opposite angles are always equal to each other. This means that if you measure the two opposite angles, they will have the same degree measure.
• The reason behind opposite angles being equal is the property of vertical angles.
• Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
• These angles are equal because they share the same vertex and are formed by the same pair of intersecting lines.
• Therefore, when two lines intersect, the opposite angles are equal due to the property of vertical angles.
• This property is consistent in all cases of intersecting lines, making opposite angles equal in any geometric figure where two lines intersect.
• Understanding this concept is crucial in geometry and helps in solving various problems involving angles and intersecting lines.
• By recognizing and applying the property of opposite angles being equal, you can simplify angle calculations and geometric proofs.
How opposite angles are equal ? reason?
Just imagine an intersecting line, it has opposite angles. There will be four angles in the figure. The opposite angles will be equal because of the V.O.A(Vertical opposite angle) property.