Given that m∠NMP=(3x+8)∘ and m∠OMP=(4x−6)∘, identify m∠NMO.
Accepted Solution
A:
NMP = OMP3x +8 = 4x -6Subtract 3x from both sides:8 = x -6Add 6 to both sides:x = 14Now solve for one equation:3x +8 = 3(14) +8 = 42+8 = 50NMO is the sum of NMP and OMPNMO = 50 +550 = 100 degrees.