Answer:
The variable x is equal to 21 degrees. The measurement of each angle are:
1. angle labeled "x" = 21 degrees
2. angle labelled (6x + 10) = 136 degrees
3. angle labelled (x + 2) = 23 degrees
Explanation:
We know that the three angles of any triangle add to equal 180 degrees. We can use this to create the following equation and solve it for x:
x + (6x + 10) + (x + 2) = 180
Combine like terms
8x + 12 = 180
Subtract 12 from both sides
8x = 168
Divide both sides by 8
x = 21
Use this value to find the other two angles as shown in the answer above.