Respuesta :

The angles ABM and MBC sum to the measure of angle ABC. Let's create an equation to model the problem.

ABM + MBC = ABC

Let's plug our values into the variables.

ABM + 150 = 171

Let's solve for ABM. Subtract 150 from both sides.

ABM = 21

Answer:

∠ ABM = 21°

Step-by-step explanation:

∠ ABM + ∠ MBC = ∠ ABC , that is

∠ ABM + 150° = 171° ( subtract 150° from both sides )

∠ ABM = 21°

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