Answer:
Therefore
m∠ DCB is 55°
Step-by-step explanation:
Given:
ABCD is a parallelogram. The diagram is not drawn to scale.
m∠CDA = 125°,
To FInd
m∠DCB = ?
Solution:
ABCD is a parallelogram.
AD || BC .......{opposite sides of a parallelogram are parallel}
∴∠CDA+∠DCB = 180°{SUM of the interior angles between parallel are supplementary}
substituting the values we get
[tex]125+m\angle DCB=180\\\\m\angle DCB =180-125=55\\\\m\angle DCB =55\°[/tex]
Therefore
m∠ DCB is 55°