Question

I got x = 45
And I was wondering if anyone one could tell me if im correct

Answer 1

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°