Question

Two opposite angles of a parallelogram are $(3x-2{)}^{\circ }$ and $(63-2x{)}^{\circ }$. Find all the angles of the parallelogram.

Answer 1

In ||gram, opposite angles are equal.
3x - 2 = 63 - 2x
5x = 65
x = 13
3x - 2 = 3 x 13 - 2 = 37
63 - 2x = 63 - 26 = 37
Now, remaining two angles are of same value
So, x + x + 37 + 37 = 360
2x = 360 - 74
2x = 286
x = 143
Hence, remaining two angles are 143 and 143.