the second angle of a triangle is twice the first angle. The third angle is five more than four times the first angle.Find the measure of the second angle.

To find the measure of the second angle, we need to determine the value of the first angle. Let's represent the first angle as 'x'.

According to the given information:
The second angle is twice the first angle. So, the measure of the second angle is 2x.

The third angle is five more than four times the first angle. So, the measure of the third angle is (4x + 5).

To find the sum of the angles in a triangle, we know that the sum of all three angles is 180 degrees.

Therefore, we can set up the equation:
x + 2x + (4x + 5) = 180

Now, let's solve this equation to find the value of x.