Given:
angle CED = 45°
angle EDC = x
angle DCE = 2x
To Find:
The value of x.
Angle Sum Property:
The sum of all the Interior Angles of a triangle is 180°.
Solution:
x + 2x + 45° = 180°
or, 3x = 180° - 45°
or, 3x = 135°
or, x = 135/3 = 45°
Answer:
The value of x is 45°.