Question

An exterior angle of a parallelogram is 110°. Find the angles of the parallelogram.
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Answer 1

Answer:

If the exterior angle of a parallelogram is 110 deg, then one pair of interior angles = 70 deg and the other pair of opposite angles is 110 

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Angle of parallelogram makes a linear pair with the adjacent inner angle

so <a =70

Now,

<a = <c = 70

since <a and <b are on the same tranversal

<a + <b = 180° [co-interior angle]

so, <b = 110°

Again by property of parallelogram.

<b= <d [opp. angles]

Therefore <a=<c

<a=<c <b=<d