Answer:
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 answer: 260/2 = 130
