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Answer :

Add angle k and l and make it equal to 180. After that solve for x. Then solve each equation of each angle with the now known x.

Answer:

  • check below for explanation ↓

explanation:

A quadrilateral has total sum of interior angle of 360°

solve for x:

3x - 6 + 2x - 8 + x + 10 + x = 360

3x + 2x + x +x - 6 - 8 + 10 = 360

7x - 4 = 360

7x = 364

x = 52°

solve for each angle:

m∠J = (3x-6) = (3(52)-6) = 150°

m∠K = (x+10) = (52 + 10) = 62°

m∠L = x = 52°

m∠M = (2x-8) = (2(52)-8) = 96°