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To solve for the angle \( x \) in the given diagram, we use the fact that angles on a straight line sum up to 180 degrees.

1. Since \( ABC \) is a straight line, the angles \( x \) and \( 45^\circ \) are supplementary. This means:
   \[
   x + 45^\circ = 180^\circ
   \]

2. Solving for \( x \):
   \[
   x = 180^\circ - 45^\circ
   \]
   \[
   x = 135^\circ
   \]

So, the size of angle \( x \) is \( 135^\circ \).

Would you like a detailed explanation or have any questions? Here are some related questions:

1. How do you find the sum of angles around a point?
2. What are supplementary angles?
3. How do you solve for unknown angles in a triangle?
4. What is the difference between complementary and supplementary angles?
5. How do you use the properties of parallel lines to find angles?

**Tip:** Remember, angles on a straight line always add up to \( 180^\circ \).

Work out the size of angle x given that angle ABC is a straight line and one of the angles is 45 degrees.

Learn how to find the size of angle x in a straight line where one angle is given as 45 degrees. Understand the rule that angles on a straight line add up to 180 degrees, and solve this geometry problem step-by-step. Suitable for students in Grades 6-8.

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