Question

Stuck on this question. Please Help!

Answer 1

Answer:

x = 19 degrees

Step-by-step 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!