What is the value of X
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Answer:
∠JKL = 159
∠JKM = 43
∠MKL = 116
Step-by-step explanation:
Step 1: Define a equation for the angles
∠JKL = ∠JKM +∠MKL
Step 2: Substitute the values in for the angles
(10x - 11) = (43) + (8x-20)
Step 3: Solve for x
10x - 11 = 43 + 8x - 20
2x = 34
x = 17
Step 4: Substitute x = 17 back into angle to solve
∠JKL = 10(17) - 11
=170 - 11
=159
∠JKM = 43
∠MKL = 8x - 20
= 8(17) - 20
= 136 - 20
=116
Answer:
17=x
JKM =43
MKL = 116
JKL= 159
Step-by-step explanation:
JKM + MKL = JKL
43+ 8x-20 = 10x-11
Combine like terms
23+8x = 10x-11
Subtract 8x from each side
23 +8x-8x = 10x-8x-11
23 = 2x-11
Add 11 to each side
23+11 = 2x-11+11
34 = 2x
Divide by 2
34/2 = x/2
17=x
JKM =43
MKL = 8x-20 = 8*17 -20 = 116
JKL= 10x-11 = 10*17 -11 = 159