Respuesta :
Answer:
m∠MKN = 61°
Step-by-step explanation:
Since KN is a perpendicular bisector, m∠NKM and m∠MKJ have to add up to 90°.
Step 1: Set up equation
6x + 7 + 3x + 2 = 90
Step 2: Solve for x
- Combine like terms: 9x + 9 = 90
- Subtract 9 on both sides: 9x = 81
- Divide both sides by 9: x = 9
Step 3: Find m∠MKN
m∠MKN = 6x + 7
m∠MKN = 6(9) + 7
m∠MKN = 54 + 7
m∠MKN = 61°
Answer:
61
Step-by-step explanation:
Since JKL is a straight line, it equals 180
JKM + MKN + NKL = 180
3x+2 + 6x+7 + 90 = 180
Combine like terms
9x+99 = 180
Subtract 99 from each side
9x+99-99= 180-99
9x =81
Divide each side by 9
9x/9 = 81/9
x=9
We want MKN
6x+7 = 6*9 +7 = 54+7 = 61