What is the missing value of x if there is a triangle with the sides 6x, 3x+12, and x + 25 and the angles of 70 degrees and 40 degrees (the third angle is not there)

We can use the law of sines, which relates the angles and sides of a triangle.
The formula is:
,
where A, B, and C are angles and a, b, c are side lengths.

Let's find the missing angle. The interior angles of a triangle add up to 180 degrees, so the missing angle is 180-70-40 = 70 degrees.

Let's make a proportion and use the two 70 degrees angles and their opposite lengths. Since both sides have the same numerator of 70 degrees, we can equate the denominators together.

(1/x + 1)^2 + 6 (1/x + 1) +5