Question

An exterior angle of a parallelogram is 110 degree. Find all the angles of the parallelogram ​

Answer 1

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Answer 2

VERIFIED EXPERT'S ANSWER

/_ is angle sign

Step-by-step explanation:

ABCD is a parallelogram.

/_CBX is exterior angle of parallelogram ABCD.

/_CBX+/_ABC=180°

110°+/_ABC=180°

/_ABC=180°-110°

/_ABC=70°

/_B=/_D

(Therefore, opposite angles of parallelogram are equal)

So, /_D=70°

/_DCB+/_ABC=180°

[SUPPLEMENTARY ANGLES]

/_DCB+70°=180°

/_DCB=180°-70°

/_DCB=110°