if measures of opposite angles of a parallelogram are(60-x) and(3x-4) , then find the the measure of angle of the parallelogram?

We know that the measures of opposite angles of a parallelogram are equal.

Hence,

60 - x = 3x - 4

64 = 4x

x = 16

Thus, these two angles have meaure (60-16) = 44 degrees.

 

Thus, the angles of parallelogram are 44, (180 - 44), 44, (180 - 44)

or 44^o, 136^o, 44^o, 136^o.