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1. When two lines intersect, they form two pairs of vertical angles. If the measure of [tex]\angle 1[/tex] is [tex]60^{\circ}[/tex], what is the measure of [tex]\angle 2[/tex]?

A. [tex]120^{\circ}[/tex]
B. [tex]30^{\circ}[/tex]
C. [tex]60^{\circ}[/tex]
D. [tex]50^{\circ}[/tex]

Sagot :

GinnyAnsweridn
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]
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