∠6=112° and ∠7=2x+8. What equation will solve for x?
Format for answer is x + =
2x + 8 = 112
x = 52
To solve for x, we need to use the fact that angles 6 and 7 are supplementary angles. The sum of two supplementary angles is equal to 180°.
So, we can set up the equation as follows:
∠6 + ∠7 = 180°
Substituting the given values:
112° + (2x + 8) = 180°
Simplifying the equation, we combine like terms:
2x + 120 = 180
Now, to solve for x, we can isolate the variable. Subtract 120 from both sides of the equation:
2x = 180 - 120
2x = 60
Finally, divide both sides of the equation by 2:
x = 60 / 2
x = 30
Therefore, the equation that solves for x is:
x + 30 = 0
To solve for x, we need to set up an equation that relates ∠6 and ∠7.
Given that ∠6 = 112° and ∠7 = 2x + 8, we can set up the equation as follows:
∠6 = ∠7
Substituting the given angle values:
112° = 2x + 8
Now, let's isolate x by subtracting 8 from both sides of the equation:
112° - 8 = 2x
Simplifying the left side:
104° = 2x
Finally, we can solve for x by dividing both sides of the equation by 2:
104° / 2 = x
Therefore, the equation that will solve for x is:
x + 52° =