Question

NOTE: Angles not necessarily drawn to scale.

Answer 1

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°