Question

Parallelogram ABCD is shown. CD=DE Work out the size of angle x.

Answer 1

Step-by-step explanation:

Angles in a parallelogram are supplementary

Answer 2

Answer: x=19

Step-by-step explanation:

As CD=DE

ECD is also 38

Because it is an isosceles triangle which has 2 equal sides and angles.

As interior angles add up to 180

38+38-180=104

So CDE=104

Angle on a straight line add up to 180

180-38

AEC= 142

As oppossite angles in a parallelogram are equal

CDE=CBA

CBA=104

Finding x

Say BCA=x

Lets see CBAC

104+3x+x=180

104+4x=180

4x=76

x=19