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NOTE: Angles not necessarily drawn to scale.

NOTE: Angles not necessarily drawn to scale.-example-1
User Xiaolin
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1 Answer

9 votes
9 votes

Answer:

x = 45°

Explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent (equal).

From inspection of the given diagram, the straight line with points C and D and the straight line with points F and G intersect at point E.

Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.

From inspection of the diagram:

  • ∠FEC = x°
  • ∠DEG = 20° + 25° = 45°

Therefore:

⇒ ∠FEC =∠DEG

x = 45°

User Akos K
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