The opposite angles of a parallelogram are (3x + 5)^o and (61 - x)^o. Find the measure of four angles.

(3x + 5) = (61 - x) (Opposite angles of a parallelogram are equal)
3x + x = 61 - 5
4x = 56^ox=
x = 14^o
3x + 5 = 3(14) + 5 = 42 + 5 = 47^o
61 - x = 61 – 14 = 47^o
Angle adjacent to one of the above angle = 180^o – 47^o
= 133^o (Sum of adjacent angles in a parallelogram is 180^o)
Fourth angle = 133^o (Opposite angles of a parallelogram are equal)
Therefore the four angles in a parallelogram are 47^o, 133^o, 47^o and 133^o