Question

A) Work out the size of angle x B) give reasons for your answer

Answer 1

75°

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Answer 2

Answer:

The measure of x is 75°.

Step-by-step explanation:

When a transversal cuts two or more lines, the angles that are in the same relative position are called corresponding angles. The matching angles are equivalent when the lines are parallel.

∠ ABC = ∠ BFE (corresponding angles)

∠ BFE = x°

And ∠ BFE  + ∠EFG = 180 (linear pair)

x + 105° = 180°

x = 180° - 105°

x = 75°

So, The value of x is 75°