The diagram shows line m intersecting line n and shows some of the angle measures.
angle 1: 85
angle 2: (5y+10)
angle 3: (x+22)
what is the value of y?
a. 85
b. 17
c.. 95
d. 100
To find the value of y, we can set up an equation using the information given.
Since angle 1 and angle 2 are vertical angles, they are congruent. Therefore, we have the equation:
85 = 5y + 10
Subtracting 10 from both sides of the equation, we get:
75 = 5y
Dividing both sides of the equation by 5, we find:
y = 15
So the value of y is 15.
None of the given answer choices include 15, so the correct answer is not present.