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
3 answers
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.
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.
1 answer