if two lines intersect each other at one point how many corresponding angles will be formed
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When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles.
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Question :- If two lines intersect each other at a point then how many corresponding angles will be formed ?
Solution :-
from image we can see that,
- Line AB and CD intersect each other at O .
- 4 angles formed are = ∠AOC , ∠AOD, ∠BOC and ∠BOD .
now, we know that,
- Angles formed when a transversal line cuts across two straight lines are known as corresponding angles.
We can make the following conclusions about corresponding angles :-
- A pair of corresponding angles lie on the same side of the transversal.
- The corresponding pair of angles comprises one exterior angle and another interior angle.
- Not all corresponding angles are equal.
- Corresponding angles are equal if the transversal intersects two parallel lines.
- If the transversal intersects non-parallel lines, the corresponding angles formed are not congruent and are not related in any way.
- Corresponding angles form are supplementary angles if the transversal perpendicularly intersects two parallel lines.
therefore, we can conclude that, when two lines intersect each other at a point, then no corresponding angles will be formed.
Learn more :-
In ABC, AD is angle bisector,
angle BAC = 111 and AB+BD=AC find the value of angle ACB=?
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