if m( �Ú1) = 4x +10 and m(�Ú7) = 6x + 4 what are the measures of angle 1 and 7
To find the measures of angles 1 and 7, we need to determine the values of "x" first.
Given that m( �Ú1) = 4x + 10, and m(�Ú7) = 6x + 4, we can set up an equation in terms of x by equating the measures of the angles:
4x + 10 = 6x + 4
To solve for x, we need to isolate it on one side of the equation. Let's start by subtracting 4x from both sides:
10 = 2x + 4
Next, subtract 4 from both sides:
10 - 4 = 2x
6 = 2x
Finally, divide both sides by 2:
6/2 = x
3 = x
Now that we know the value of x, we can substitute it back into the expressions to find the measures of angles 1 and 7:
m( �Ú1) = 4x + 10 = 4(3) + 10 = 12 + 10 = 22
m(�Ú7) = 6x + 4 = 6(3) + 4 = 18 + 4 = 22
Therefore, the measures of angles 1 and 7 are both 22 degrees.