Mathematics

Problem

At point

M

, three rays

MA, MC,

and

MB

are drawn such that

MC

lies between

MA

and

MB

. The measures of the two adjacent angles are

\angle AMC = 68^\circ \quad\text{and}\quad \angle CMB = 112^\circ.

(a) Verify whether the rays

MA

and

MB

are collinear. Show all working and reasoning. (b) If

MD

is the ray opposite to

MC

, find the measure of

\angle AMD