Question

ABCD is a parallelogram where A= (2x + 50°) and C= (3x + 40°). i). Find the value of x. ii). Find the measure of each angle.

Answer 1

hope it will help you!!

Answer 2

Answer:

2x+50=3x+40

or 10=x

i)x=10

ii)A=2x10+50=70

C=3x10+40=70

D=180-70=110

B=180-70=110

Step-by-step explanation:

As we know, opposite angles of parallelogram are equal

Therefore,

A=C

or 2x+50=3x+40

or x=10

Now,

A=2x10+50=70

C=3x10+40=70

Since, in parallelogram adjacent angles are supplementary

D=180-70=110

B=180-70=110