Answer: ∠M = 98°
Explanation:
Given:
∠M = (3x-16)°
∠N = x°
∠O = (x+6)°
Sum of all angles in a triangle is 180°
Therefore, 180° = ∠M +∠N +∠O, substitute the given values
180° = (3x-16)° + x° + (x+6)° (add/combine like terms)
180° = (3x+x+x)° + (-16+6)°
180° = (5x)° + (-10°)
180° + 10° = (5x)° ( divide both sides by 5)
190°/5 = (5x)°/5
38° = x°
IF ∠M = (3x-16)°, substitute x°=38°,
Therefore, ∠M = 3(38)-16
∠M = 114 - 16 = 98°