Answer: x = 12
Explanation:
To find the value of x, you're gonna need to know that all the angles of a triangle put together should equal 180 degrees.
We should start by adding the two angles we do have: 67 + 70 = 137.
Now that we know the amount of angle space we DO have, we need to subtract 137 from 180.
180 - 137 = 43
We now know that our missing angle has a total of 43 degrees.
Solving for x:
Now, we need to write out our problem, and we need to solve for x.
3x + 7 = 43
To solve for x, we need to get rid of the 7 first, using the inverse of addition: subtraction.
3x + (7 - 7) = (43 - 7)
The two 7s cancel out, and 43 - 7 is 36.
3x = 36
To get rid of the 3, and get x alone, we need to do the opposite of multiplication: division.
(3 ÷ 3) x = (36 ÷ 3)
Finish solving:
x = 12
Checking your work:
Implant the new value for x back into the main equation:
3(12) +7 = 43
36 + 7 = 43
43 = 43
Hope this helps you!