To find the value of x+y, we will first find the sum of all the interior angles of the hexagon.The sum of the interior angles in a hexagon is always equal to 720 degrees.
All the angles in the diagram are in terms of x or y except for angle t. However, we know that the corresponding exterior angle is 30 degrees. The sum of angle t and 30 is 360. We can solve this in an algebraic equation.
t+30=360
Subtract 30 from both sides
t = 330
Now, we can solve for the values of x+y. We can set this up in another algebraic equation.
x+x+x+2y+y+30=720
Combine like terms:
3x+3y+30 = 720
Subtract 30 from both sides:
3x+3y = 690
Divide both sides by 3:

x+y = 230
The sum of x and y is 230.
Answer:
X - 6 = X + 6
Step-by-step explanation:
Instead of subtracting 10, you can add negative 10
The answer is 80, because that is what you get when you subtract 100 from 180 to get the third angle.
Answer:
165 total
Step-by-step explanation:
56 he has donw + 109 he has left + 165 total