Answer:
< CDA = 140 degrees
Step-by-step explanation:
For a rhombus, the sum of the interior angles is 360 degrees and also the opposite angles are equal i.e <ABC = <CDA and <BAD = <BCD
Given
<CAD = 20 degrees
<BCE = 20 degrees (based on geometry)
<BAD = <CAD + <BCE
<BAD = 20 + 20
<BAD = 40 degrees
Since <BAD = <BCD, then <BCD = 40 degrees
Get <CDA
<CDA + <ABC + <BAD + <BCD = 360
<CDA + <CDA + <BAD + <BCD = 360
2 < CDA + 40 + 40 = 360
2< CDA + 80 = 360
2< CDA = 360-80
2< CDA = 280
< CDA = 280/2
< CDA = 140 degrees
