The diagram shows line m intersecting line n and shows some of the angle measures.
the diagram is intersecting line
one angle is 85
the other angle is (5y+10)
and the last angle is (x+22)
What is the value of y?
(1 point)
Responses
85
85
17
17
95
95
100
17
can you show me the steps on how you do it
Sure! Since we know that the two angles formed by the intersection of line m and line n should add up to 180 degrees, we can set up the equation:
85 + (5y + 10) = 180
Combine like terms:
5y + 95 = 180
Subtract 95 from both sides:
5y = 85
Divide by 5:
y = 17
Therefore, the value of y is 17.