Question

ABCD is rhombus and ABDE is a parallelogram , given that EDC is a straight line and angle AED = 36 degrees , find the angle BAD.

Answer 1

Step-by-Step Explanation:

Angle BDC= Angle AED= 36 Degree (corresponding angles of AE and BD.)

= We know that ABCD is a rhombus, so AB||DC

= Angle ABD= Angle ABD= 36 degree (Base angles of isosceles, since AB=DC)

= Angle BAD+ Angle ABD+ Angle ADB= 180 degree

Angle BAD+ 36 degree+36 degree= 180 degree

Angle BAD= 180 degree- 36 degree-36 degree

Angle BAD= 108 degree

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