A. Find the values of a and b that would make the quadrilateral a parallelogram.

B. Make sure to show work

Top 6b-3
Left 2a+6
Right 3a-10
Bottom 5a+1

Thank you

2 answers

In a ||gram, opposite sides are equal, so

6b-3 = 5a + 1
5a - 6b = -4
and
2a + 6 = 3a-10
a = 16
into the first:
5(16) - 6b = -4
-6b = -84
b = 14

check:
top = 6b-3 = 81
left = 2a + 6 = 38
right = 3a - 10 = 38
bottom = 5a+1 = 81
all is good!
My parallelogram has top right angle of (12b+8)degrees, bottom right angle of (5b+2) degrees, and a bottom left angle of 2a degrees please help me solve for a and b.