Question

m is in the interior of ∠abc. if m∠abc = 125° and m∠abm = 30°, what is the m∠mbc?

Explanation:

Step1: Identify angle - relationship

$\angle ABC=\angle ABM + \angle MBC$

Step2: Solve for $\angle MBC$

$\angle MBC=\angle ABC-\angle ABM$

Step3: Substitute values

$\angle MBC = 125^{\circ}-30^{\circ}=95^{\circ}$

Answer:

$95^{\circ}$