With intersecting lines, the angles opposite the intersection (across the "X") are called vertical angles, and they are identical. Therefore JNK = MNL and KNL = JNM.
So set KNL = JNM:
3(x+14) = 5x+2
3x+42 = 5x+2
3x+42 -42 = 5x+2 -42
3x = 5x -40
3x -5x = 5x-5x -40
-2x = -40
-2x/-2 = -40/-2
x = 20
Now plug that into x for KNL:
KNL = 3(x+14) = 3(20+14) = 3(34) = 102°
96° i think
correct me if im wrong 。^‿^。
We can start by saying that since f and g are parallel, and that a line cuts through them, 3x+6x+45=180. This is due to the consecutive interior angles theorem, which states that if two parallel lines are cut by a transversal (another line), the interior angles the form from it (the angles between the parallel lines) are supplementary, or add up to 180 degrees. Therefore, we have 9x+45=180. Subtracting 45 from both sides using the subtraction property of equality, we get that 9x=135. Next, we can divide both sides by 9 to isolate x, resulting in x=15.
Feel free to ask further questions!
Answer:
A. 9.8ft
Step-by-step explanation:
work out arc length using this formula
r is the radius, 7 in this case and theta(the symbol above 360) is the angle, 80 in this case
This is the image the points form, if you know your quadrilaterals, this should make it easier to picture and label. Need any further explanation?