Question

the second angle of a triangle is 4 times as large as the first. the third angle is 5 more than the sum of the other two angles. find the measure of the second angle

Answer 1

We assume that the three angles are x, y, and z.
x+y+x=180 because they are interior angles of a triangle.
y=4x since the second angle is 4 times the first one.

z=5+x+y because the third one is 5 more than the sum of the other two.

Answer 2

x+y+z=180
y=4x
z=5+x+y

Answer 3

I got y=70. So the second angle is 70 degrees.

Answer 4

Call the first angle x.

The second angle is 4 times the first angle, so the second angle is 4x.

The third angle is 5 more than the sum of the other two angles, so the third angle is:
x + 4x + 5

The sum of the three measures is 180, so you get:

(x) + (4x) + (x + 4x + 5) = 180

Solve for x, which gives you the first angle.
Then multiply x by 4 to get the second angle.