angle J and angle m are base angles of isosceles trapezoid JKLM. If m angle J = 20x+9 and m angle m = 14x+15, find m angle k.

Answer:
J=44.375, K=88.75, L=98.75, and M=128.125
Step-by-step explanation:
J%2BK% 2BL% 2BM=360 Start with the given equation
x%2B2x%2B2x%2B10%2B3x-5=360 Plug in J=x, K=2x, L=2x%2B10,and M=3x-5
8x%2B5=360 Combine like terms on the left side
8x=360-5Subtract 5 from both sides
8x=355 Combine like terms on the right side
x=%28355%29%2F%288%29 Divide both sides by 8 to isolate x
x=355%2F8 Reduce
Since x=355%2F8 (which is x=44.375 in decimal form), our first angle is J=44.375
Since x=44.375, we can plug this into K=2x to get
K=2%2844.375%29=88.75
So our second angle is K=88.75
Since x=44.375, we can plug this into L=2x%2B10 to get
L=2%2844.375%29%2B10=88.75%2B10=98.75
So our third angle is L=98.75
Since x=44.375, we can plug this into M=3x-5 to get
M=3%2844.375%29-5=133.125-5=128.125
So our fourth angle is M=128.125
Answer:
151°
Step-by-step explanation:
20x + 9 = 14x + 15 Subtract 14x from both sides, then subtract 9 from both sides.
6x = 6 Divide both sides by 6.
x = 1 Substitute 1 for x
20(1) + 9 = 14(1) + 15 Simplify.
29° = 29° Subtract 29° from 180°
180° - 29° = 151°
∠K is 151° (and∠ L is also 151° but they didn't ask for that.)
I'll take a brainliest, please and thank you.