Answer :
When two straight lines intersect, they form pairs of opposite angles. These angles are known as vertically opposite angles. Vertically opposite angles are equal to each other.
Vertically Opposite Angles: When two lines intersect, they create two pairs of vertically opposite angles. For example, if two lines intersect creating angles [tex]\alpha[/tex] and [tex]\beta[/tex], then [tex]\alpha[/tex] and [tex]\beta[/tex] are vertically opposite angles and [tex]\alpha = \beta[/tex].
Adjacent Supplementary Angles: These angles are not necessarily equal but are supplementary if two adjacent angles add up to [tex]180^\circ[/tex]. In this case, there is no indication that angles [tex]\alpha[/tex] and [tex]\beta[/tex] are adjacent and specifically supplementary.
Complementary Angles: These are two angles that add up to [tex]90^\circ[/tex]. This definition does not apply to intersections of straight lines.
Supplementary Angles: These angles add up to [tex]180^\circ[/tex]. This usually applies to angles on a straight line, and while adjacent angles formed by intersecting lines can be supplementary, [tex]\alpha[/tex] and [tex]\beta[/tex] as described are equal, not necessarily supplementary.
Thus, the correct choice for the angles created by two intersecting lines is 1. Vertically opposite angles.
