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Dimas [21]
1 year ago
9

NOTE: Angles not necessarily drawn to scale.

Mathematics
1 answer:
jeka57 [31]1 year ago
6 0

Answer:

x = 45°

Step-by-step explanation:

<u>Vertical Angle Theorem</u>

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

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

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°

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