Answer :
Certainly! Let's solve this problem step-by-step:
1. Understanding Vertical Angles: When two lines intersect, they form two pairs of vertical, or opposite, angles. Vertical angles are always equal in measure.
2. Given Information: We know that the measure of [tex]\(\angle 1\)[/tex] is [tex]\(60^{\circ}\)[/tex].
3. Identify Vertical Angles: Since vertical angles are equal, [tex]\(\angle 2\)[/tex] is the angle that is vertically opposite to [tex]\(\angle 1\)[/tex].
4. Measure of [tex]\(\angle 2\)[/tex]: According to the property of vertical angles, the measure of [tex]\(\angle 2\)[/tex] will be the same as the measure of [tex]\(\angle 1\)[/tex].
Therefore, the measure of [tex]\(\angle 2\)[/tex] is [tex]\(60^{\circ}\)[/tex].
So, the correct answer is:
[tex]\[ \boxed{60^{\circ}} \][/tex]
1. Understanding Vertical Angles: When two lines intersect, they form two pairs of vertical, or opposite, angles. Vertical angles are always equal in measure.
2. Given Information: We know that the measure of [tex]\(\angle 1\)[/tex] is [tex]\(60^{\circ}\)[/tex].
3. Identify Vertical Angles: Since vertical angles are equal, [tex]\(\angle 2\)[/tex] is the angle that is vertically opposite to [tex]\(\angle 1\)[/tex].
4. Measure of [tex]\(\angle 2\)[/tex]: According to the property of vertical angles, the measure of [tex]\(\angle 2\)[/tex] will be the same as the measure of [tex]\(\angle 1\)[/tex].
Therefore, the measure of [tex]\(\angle 2\)[/tex] is [tex]\(60^{\circ}\)[/tex].
So, the correct answer is:
[tex]\[ \boxed{60^{\circ}} \][/tex]
