The diagram shows line M intersecting, line N, and shows some of the angle measures

Angles:
120°
(2x+10)°
(2Y+30)°

Using the angle relationships, determine the value of y in the diagram above

A. Y equals 15.
B. Y equals 30.
C. Y equals 45
D. Y equals 90.

1 answer

To determine the value of y, we need to set up an equation using the angle relationships.

First, we know that angles that are vertically opposite are equal. So, the 120° angle and the (2y+30)° angle are vertically opposite.

Therefore, we can set up the equation:

2y + 30 = 120.

Now, we can solve for y:

2y = 120 - 30.
2y = 90.
y = 90/2.
y = 45.

Therefore, the value of y is 45.

C. Y equals 45.