in a scalene triangle, the measure of the largest angle is four more than two times the smallest and the other angle is two more than the smallest.
what is the measure of the largest angle ?
4x + (2)2x +2x
Am I going in the right direction with the above equation ?
180=L+S+M
180=2S+4 +S + S+2
check that.
Yes, you are on the right track with your equation. To solve for the measure of the largest angle, let's assign a variable to the measure of the smallest angle.
Let's say that the measure of the smallest angle is x.
According to the problem, the measure of the largest angle is four more than two times the smallest angle. So the equation for the measure of the largest angle is:
Largest angle = 2 * x + 4
And the other angle is two more than the smallest angle. The equation for the other angle is:
Other angle = x + 2
Now, since we are dealing with a triangle, the sum of the angles must be 180 degrees.
Therefore, we can set up the equation:
Largest angle + Other angle + Smallest angle = 180
Substituting the equations we found for the largest angle and the other angle into the equation, we get:
(2 * x + 4) + (x + 2) + x = 180
Now, you can simplify and solve this equation to find the value of x, which represents the measure of the smallest angle. Once you find the value of x, you can substitute it back into the equation for the largest angle (4x + 2) to find its measure.