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# Example 1 of Angles Pairs and Parallel Lines

- Question:
- In the figure below, line AB parallel to line CD, intersected by line EF at point G and H respectively. If angle CHF is 30 degree, what is the value of x in degree?

- Solution:
- Since line segments CD and EF intersect at point H, so angle GHD = angle CHF = 30
^{o}. (Vertical angles are congruent) - Since AB // CD (Given), so angle EGB = angle GHD = 30 degrees (Corresponding angles are congruent)
- x = angle EGB = 30
^{o}. - The value of x is 30
^{o}.