Answer:
x = 23
Explanation:
Discussion
The angle opposite (8x - 77) is equal to (8x - 77). They are vertically opposite.
That angle and 3x + 38 are corresponding angles. They are on the right side of the almost vertical line (the transversal). They are also below the parallel lines that form them. They are called corresponding angles.
Therefore (8x - 77) and (3x + 38) are equal.
Equation
(8x - 77) = (3x + 38)
Solution
(8x - 77) = (3x + 38) Remove the Brackets
8x - 77 = 3x + 38 Add 77 to both sides
8x -77+77 = 3x + 38 + 77 Combine
8x = 3x + 115 Subtract 3x from both sides
8x - 3x = 3x - 3x + 115 Combine
5x = 115 Divide by 5
5x/5 = 115/5
x = 23