Answer:
A = 150°
Step-by-step explanation:
In the parallelogram ABCD, A and D are adjacent angles.
We know that in a parallelogram, adjacent angles are supplementary.
Therefore,
A + D = 180° --- (1)
But, it is given that angle A is 5 times angle D.
So, A = 5D
Substitute in (1), we get,
5D + D = 180
6D = 180
D = 30
A = 5D
= 5(30)
= 150
Hence, A = 150°
