Answer:
x = 45°
Explanation:
Congruence of Angles:
Linear angles are those consecutive angles formed when two lines cross. Their sum of linear angles is 180°.
Corresponding angles are those which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent.
From the provided figure, angles y and 3x-60 are linear, thus:
y + 3x - 60 = 180
y = 180 - 3x + 60
y = 240 - 3x
Also, being p and q parallel lines, angles y and 2x+15 are corresponding, thus:
240 - 3x = 2x + 15
Adding 3x:
240 = 2x + 3x + 15 = 5x + 15
Subtracting 15:
240 - 15 =5x = 225
Dividing by 5:
x = 225 / 5 = 45
x = 45°