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2 years ago

NOTE: Angles not necessarily drawn to scale.

Mathematics

1 answer:

jeka57 [31]2 years ago

6 0

Answer:

x = 45°

Step-by-step 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°

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