The sum of the angles of a triangle is 180 degrees. If one angle measures x degrees, a second angle measures 3x degrees, and a third angle measures 7x degrees, express the measure of the fourth angle in terms of x.
Sorry, express the measure the third angle in terms of x**
I don't know why I typed "fourth".
x + 3x + 7x = 180
11x = 180
x = 16.3636
7 * 16.3636 = about 114.545 degrees
To find the measure of the fourth angle in terms of x, we first need to remember that the sum of all four angles in a triangle is always 180 degrees.
Let's denote the measure of the fourth angle as y degrees.
The equation representing the sum of the angles is:
x + 3x + 7x + y = 180
To solve for y, combine the like terms:
11x + y = 180
Now, to express the measure of the fourth angle in terms of x, we need to isolate y.
Start by subtracting 11x from both sides of the equation:
y = 180 - 11x
Therefore, the measure of the fourth angle, y, is equal to 180 minus 11 times x.