Final answer:
The size of the angles are 40 degrees, 60 degrees, and 80 degrees.
Step-by-step explanation:
To find the size of each angle in a triangle, we can set up an equation using the fact that the sum of the three angles in a triangle is always 180 degrees.
So, we have:
4x + 80 - 2x + 6x + 20 = 180
Combining like terms, we get:
8x + 100 = 180
Subtracting 100 from both sides, we have:
8x = 80
Dividing both sides by 8, we find:
x = 10
Now, we can substitute this value of x back into each expression to find the size of each angle:
Angle 1 = 4x = 4(10) = 40 degrees
Angle 2 = 80 - 2x = 80 - 2(10) = 60 degrees
Angle 3 = 6x + 20 = 6(10) + 20 = 80 degrees
Therefore, the size of each angle is: 40 degrees, 60 degrees, and 80 degrees.
Learn more about Triangle Angles