∠A = 118°
Step-by-step explanation:
By using the property of parallelogram, diagonals bisect each other,
So ∠D = 31° + 31° = 62°
Another property of parallelogram says that,
consecutive angles are supplementary, that is ∠A and ∠D add up to 180 degrees.
Now we have the angle D as 62°, to find A, we can write as,
∠A + ∠D = 180°
∠A + 62° = 180°
It was rewritten to get ∠A as,
∠A = 180° - 62° = 118°
