Question

Need help with this, thanks

Answer 1

x = 13 and y = 20

When lines cross, two pairs of vertical angles are created. These angles are equal in measure. When you set these angles equal to each other, you can solve for x and y.

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Answer 2

`x=\boxed{13}\\\\y=\boxed{20}`

Explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent.

Solving for x:

`\boxed{\begin{aligned}(6x-26)^(\circ)&=4x^(\circ)\\6x-26&=4x\\6x-26+26&=4x+26\\6x&=4x+26\\6x-4x&=4x+26-4x\\2x&=26\\2x / 2&=26 / 2\\x&=13\\\end{aligned}}`

Solving for y:

`\boxed{\begin{aligned}(7y-12)^(\circ)&=(6y+8)^(\circ)\\7y-12&=6y+8\\7y-12-6y&=6y+8-6y\\y-12&=8\\y-12+12&=8+12\\y&=20\end{aligned}}`

Therefore:

`x=\boxed{13}\\\\y=\boxed{20}`