1) Always, Sometimes. or Never
a) If a ray bisects an obtuse angle, then the two angles are acute.
b) If a ray divides an obtuse angle into two angles, then the two angles are acute.
c) If a segment bisects another segment, then the segment bisector is also bisected.
2) Change \(101^{\circ}18'40’’\) to degrees.
3) Change \(47^{\circ}55'12’’\) to degrees.
4) Change \(173.85^{\circ}\)to degrees, minutes, and seconds.
5) Change \(32\frac{1}{18}^{\circ}\) to degrees, minutes, and seconds.
6) Given \(\overrightarrow{AT}\) bisects \(\angle MAH\). If \(m\angle MAT = \left(\frac{1}{2}x + 20.25\right)^{\circ}\) and \(m\angle HAT = (2x - 52.5)^{\circ}\), is \(\angle MAH\) a right angle? Justify your reasoning.