Answer:
x = 20
Step-by-step explanation:
<em>Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.</em>
3x + 50 = 6x - 10
<em>Solve by combining like-terms and isolating </em><em>x</em><em>. Move the </em><em>3x</em><em> to the right by subtracting it from both sides.</em>
50 = 3x - 10
<em>Move the </em><em>10</em><em> to the left by adding it to both sides.</em>
60 = 3x
<em>Divide the </em><em>3</em><em> from both sides to isolate the </em><em>x.</em>
x = 20
<em>Furthermore, this can be checked by plugging in </em><em>20</em><em> to </em><em>x</em><em> and seeing if the expression is true.</em>
3(20) + 50 = 6(20) - 10
110 = 110
