2) If two lines intersect each other at a point then how many corresponding angles
will be formed?
Answers
Answer:
✯ No corresponding angles will be formed ✯
When two lines intersect, the vertically opposite angles so formed are equal.
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In following case corresponding angles forms :
When two lines are intersected by a transversal, eight angles are formed. ... If two parallel lines are intersected by a transversal, (i) each pair of corresponding angles is equal. (ii ) each pair of alternate interior angles is equal .
Diagram of corresponding angles refer to the attachment..(◕ᴗ◕✿)
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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