The diagram shows line m intersecting with line n and shows some of the angle measures: 120 degrees, (2x + 10), and (2y + 30)
Using the angle relationships, determine the value of x in the diagram above.
(1 point)
Responses
x=25
x is equal to 25
x=50
x is equal to 50
x=55
x is equal to 55
x=60
Let's use the angle relationships to find the value of x.
Since line m intersects with line n, we can use the property that the sum of angles on a straight line is 180 degrees. So, we have:
120 + (2x + 10) = 180
Now, let's solve for x:
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 50/2
x = 25
Therefore, the value of x is 25.
Good, now what is the value of y?
(1 point)
Responses
y=15
y is equal to 15
y=30
y is equal to 30
y=45
y is equal to 45
y=90
To determine the value of y, we can use the property that angles that are opposite each other when two lines intersect are equal.
In the diagram, the angle measure labeled as (2y + 30) is opposite the angle measure of 120 degrees.
Therefore, we can set up the equation:
2y + 30 = 120
Now, let's solve for y:
2y = 120 - 30
2y = 90
y = 90/2
y = 45
Therefore, the value of y is 45.