From the given figure, let's solve for the varibles s and y.
Angle 110 and (y - 28) form a linear pair.
Angles on a straight line are supplementart angles and supplementray angles sum uo to 180 degrees.
Thus, we have:
(y - 28) + 110 =180
y - 28 + 110 = 180
y + 82 = 180
Subtract 82 from both sides:
y + 82 - 82 = 180 - 82
y = 98°
To solve for x, apply the corresponding angles theorem.
Angle 110 degree and (5x + 15) are corresponding angles.
Corresponding angles are congruent.
Thus, we have:
5x + 15 = 110
Let's solve for x.
Subtract 15 from both sides:
5x + 15 - 15 = 110
5x = 110