Question

One of the angles of a parallelogram is 75º. Find the measures of the remaining
angles of the parallelogram.
Da parallelogram?
justify your answer.
diacent angles of a parallel​

Answer 1

Answer:

Let ABCD is parallelogram and Angle A=75 (Given)

as we know that the opposite angle of a parallelogram are equal and hence angle A=Angle C=75.

And using property of parallelogram that the sum of adjacent angle of a parallelogram is 180

then adjacent angle are A,B

so

angle A+angle B=180

A=75 now put this value in above condition

then

75+B=180

B=180-75=105°

and we know that

<B=<D=105° (opposite angle of a parallelogram are equal)

where "<" denotes angle