In the diagram, we can see that the angle formed by line m and line n is equal to the sum of the measures of angle (2x + 10) and angle (2y + 30). So we have the equation:
120 = (2x + 10) + (2y + 30)
Simplifying the equation, we get:
120 = 2x + 2y + 40
Subtracting 40 from both sides of the equation, we have:
80 = 2x + 2y
Dividing both sides of the equation by 2, we get:
40 = x + y
Since we are asked to solve for x, we need an equation where x is isolated. We can rewrite the equation as:
x = 40 - y
Therefore, we cannot determine the specific value of x without knowing the value of y.
Using the angle relationships, determine the value of x in the diagram above.
x=25
x=50
x=55
x=60
The diagram shows line m intersecting line n and shows some of the angle measures
the measures 120, (2x+10), and (2y+30)
1 answer