Answer:
x = 19 degrees
Explanation:
Hi there!
We're given that CD = DE. This makes angle ECD equal to 38 degrees (equal to angle CED).
The sum of the interior angles in a triangle is 180 degrees. Now, we can use this information to find angle D:
180-38-38=D
D=104
Therefore, angle D is 104 degrees.
This is a parallelogram, so angle B is also 104 degrees.
The sum of the interior angles in a quadrilateral is 360 degrees. Now, we can use this to find angle A:
360-104-104=A+C
152=A+C
Keep in mind that because this is a parallelogram, angles A and C are equal:
152=2A
A=76
Therefore, angle A is 76 degrees.
To solve for x, we can use the following equation:
3x+x=76
4x=76
x=19
Therefore, x is 19 degrees.
I hope this helps!