FGHI is a parallelogram. Find the measure of angle I.
*show your work please*

I = 130

Step-by-step explanation:

The sum of all four angles in a four-sided closed shape will ALWAYS be equivalent to 360 degrees. Also, the opposite angles of a parallelogram will ALWAYS be equivalent. This means F = H.

To begin, the measure of F, y + 7, and the measure of H, 3y - 79, are equal. This equation looks like: y + 7 = 3y - 79

Now subtract y from both sides: 7 = 2y - 79

Add 79 to both sides: 86 = 2y

And divide both sides by 2: 43 = y

Now that you have the value of y, plug 43 into y and solve for both equations:

43 + 7 = 3(43) - 79

50 = 129 - 79

50 = 50

So now we know that  the measure of angles F and H are 50. 50 + 50 is 100.

Since we know that the sum of all four sides must be equivalent to 360. subtract 100 from 360 to get the sum of the measures of angles I and G:

360 - 100 = 260

So now 260 must equal I + G. Since I and G must be equivalent, just divide 260 by 2 and you have your 260/2 = 130

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