Question:
Solution:
Remember that the vertical angles mean they share the same vertex (corner point). Now, the vertical angles are equal. According to this, we get the following equation:
[tex]m\angle1\text{ = 6x-2 = 10x-30 = m}\angle3[/tex]
that is:
[tex]\text{ 6x-2 = 10x-30}[/tex]
now, putting together similar terms, we obtain:
[tex]10x\text{ -6x = -2+30}[/tex]
this is equivalent to:
[tex]4x\text{ = 28}[/tex]
solving for x, we get:
[tex]x\text{ = }\frac{28}{4}\text{ = 7}[/tex]
so that, we can conclude that the correct answer is:
[tex]x\text{ = 7}[/tex]
