Angle x and y form a linear pair. If angle y = 60 degrees, then we need to find the measure of angle x.

To solve this problem, we can use the concept of linear pairs and the properties of angles.

Linear Pair:
A linear pair is formed when two adjacent angles add up to form a straight line, which measures 180 degrees. In other words, the sum of the measures of two angles forming a linear pair is always 180 degrees.

Given:
Angle y = 60 degrees

Step 1:
We know that angle x and angle y form a linear pair, so their sum is equal to 180 degrees:
x + y = 180

Step 2:
Substitute the value of y from the given information into the equation:
x + 60 = 180

Step 3:
Now we can solve for x by subtracting 60 from both sides of the equation:
x = 180 - 60
x = 120

Answer:
The measure of angle x is 120 degrees.

Explanation:
To understand why the measure of angle x is 120 degrees, let's go through the reasoning step by step:

- We are given that angle y is equal to 60 degrees.
- Since angle x and angle y form a linear pair, their sum must be 180 degrees.
- By substituting the value of y into the equation x + y = 180, we get x + 60 = 180.
- To solve for x, we need to isolate it on one side of the equation. By subtracting 60 from both sides, we get x = 180 - 60.
- Simplifying further, we find that x = 120.
- Therefore, the measure of angle x is 120 degrees.

Remember:
When two angles form a linear pair, their measures add up to 180 degrees. By using this concept and the given information that angle y is equal to 60 degrees, we can determine that angle x must be 120 degrees.

In a linear pair any two angle = 180
then X+Y = 180 =X+60=180
X=180-60=120. So your answer X=120.