Question
the diagram shows line m intersecting line n and shows some of the angle measures
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 x is equal to 60 Skip to navigation
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 x is equal to 60 Skip to navigation
Answers
GPT 3.5
To determine the value of x, we need to identify the angle relationships in the diagram.
Since line m intersects line n, we can see that angles 1 and 2 are vertical angles and therefore congruent.
We can also see that angles 2 and 3 form a linear pair, which means their measures add up to 180 degrees.
Therefore, if angle 2 measures x degrees, and angle 3 measures 180 - x degrees.
From the diagram, we can see that angle 3 measures 125 degrees. So, we can set up the equation:
180 - x = 125
Solving for x, we get:
x = 180 - 125
x = 55
Therefore, x is equal to 55.
Since line m intersects line n, we can see that angles 1 and 2 are vertical angles and therefore congruent.
We can also see that angles 2 and 3 form a linear pair, which means their measures add up to 180 degrees.
Therefore, if angle 2 measures x degrees, and angle 3 measures 180 - x degrees.
From the diagram, we can see that angle 3 measures 125 degrees. So, we can set up the equation:
180 - x = 125
Solving for x, we get:
x = 180 - 125
x = 55
Therefore, x is equal to 55.