Question

considering what you just found for x in the previous problem, now find ( mangle m )

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two remote interior angles, so:
$$48^\circ = (3x+1)^\circ + (2x+2)^\circ$$

Step2: Simplify and solve for x

Combine like terms and isolate x:
$$48 = 5x + 3$$
$$5x = 48 - 3 = 45$$
$$x = \frac{45}{5} = 9$$

Step3: Calculate $m\angle M$

Substitute $x=9$ into $(3x+1)^\circ$:
$$m\angle M = 3(9) + 1 = 27 + 1$$

Answer:

$28^\circ$