the measure of an angle is 7 less than 10 times its supplement
whew. Glad to know it.
Now, if the problem is to find what the angle is, then you should say so.
In that case, you need to recall that supplementary angles add to 180 degrees.
A = 10(180-A) - 7
A = 1800 - 10A - 7
11A = 187
A = 17
Oops. 11A = 1793
A = 163
Oddly enough, the supplement of my first result!
Let's assume that the angle is denoted by x. The supplement of the angle is 180 - x (since the sum of an angle and its supplement is 180 degrees).
According to the given information, the measure of the angle x is 7 less than 10 times its supplement, which can be written as:
x = 10(180 - x) - 7
Now we can solve this equation to find the value of x:
x = 1800 - 10x - 7
11x = 1800 - 7
11x = 1793
x = 1793/11
x ≈ 163
Therefore, the measure of the angle is approximately 163 degrees.
To find the measure of the angle, let's first understand what it means for an angle to be "7 less than 10 times its supplement."
Let's call the angle we are trying to find "x." The supplement of an angle is the angle that, when added to the original angle, gives a total of 180 degrees (since the sum of the angles in any triangle is 180 degrees).
So, the supplement of the angle x is 180 - x.
According to the given information, the measure of angle x is 7 less than 10 times its supplement. In equation form, this can be written as:
x = 10(180 - x) - 7
Now, let's solve this equation to find the value of x:
x = 10(180 - x) - 7
x = 1800 - 10x - 7
x + 10x = 1800 - 7
11x = 1793
x = 1793/11
Thus, the measure of the angle is approximately 163 degrees (rounded to the nearest whole number).
To verify this answer, you can substitute the value of x back into the equation and check if it satisfies the given condition.