Points K,L, and M are on line l in that order. N is a point not on line l. The measure of angle KLN is (3x+3) and the measure of angle NLM is (5x-7). What is the value of x?
3x+3+5x-7=180 or =Pi
To find the value of x, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
From the given information, we know that angle KLN measures (3x + 3) degrees and angle NLM measures (5x - 7) degrees.
Since K, L, and M are points on a line, angles KLN and NLM are supplementary, meaning their sum is 180 degrees. Therefore, we have the equation:
(3x + 3) + (5x - 7) = 180
Simplifying the equation, we get:
8x - 4 = 180
Adding 4 to both sides of the equation:
8x = 184
Finally, dividing both sides of the equation by 8, we find:
x = 23
So, the value of x is 23.