Two intersecting lines will form how many pairs of congruent angles?

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Two intersecting lines will form how many pairs of congruent angles?

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Answer 1 · 2016-07-28T13:24:31

Generally, two intersecting lines form two pairs of congruent angles (they are called vertical).
If lines are perpendicular to each other, all four angles are congruent, they are all right angles.

Explanation:

enter image source here

Vertical angles are two angles $∠ A$ $/_A$ and two angles $∠ B$ $/_B$ on this figure. They are congruent for any two intersecting lines.

If lines are perpendicular, all angles $∠ A$ $/_A$ and $∠ B$ $/_B$ are right angles and all are congruent to each other, as seen on this figure:
enter image source here
Here $∠ 1 = ∠ 2 = ∠ 3 = ∠ 4 = 90^{o}$ $/_1 = /_2 = /_3 = /_4 = 90^o$
Angles $∠ 1$ $/_1$ and $∠ 3$ $/_3$ are still vertical. So are $∠ 2$ $/_2$ and $∠ 4$ $/_4$ .

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Two intersecting lines will form how many pairs of congruent angles?

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