When two lines intersect, four angles are formed. The angles that are directly opposite to each other are called Opposite Angles.
Opposite angles are also called vertically opposite angles.
Opposite angles are always non-adjacent.
When two parallel lines are cut by a transversal, 8 angles or 4 pairs of opposite angles are formed.
In the given figure, the lines l and p intersect each other and form four angles.
Among these angles, ∠1 and ∠3, ∠2 and ∠4 are opposite angles.
A. (a, b), (c, d), (e, f), (g, h)
B. (a, e), (b, f), (c, g), (d, h)
C. (a, c), (b, d), (e, g), (f, h)
D. (a, d), (b, c), (e, h), (f, g)
Correct Answer: C
Step 1: When two lines intersect, four angles are formed. The angles that are directly opposite to each other are called opposite angles.
Step 2: From the figure, two lines PQ and RS are cut by the transversal TU forming eight angles.
Step 3: So, (a, c), (b, d), (e, g), (f, h) are opposite angles.