1) If point M is the midpoint of the line segment AB, then we can state that
[tex]\overline{AM}\cong\mathbf{\overline{MB}}[/tex]
Because of the definition that states the Midpoint is the point the divides a line segment into two congruent line segments.
2) Notice that we have a pair of angles adjacent angles. In this case, we have a Linear pair.
So, if :
[tex]if\: m\angle1\: and\: m\angle2\: form\: a\: \mathbf{Linear\: Pair}[/tex]
then m∠1 + m∠2 = 180º because their sum makes up a Straight Angle
3)
If we have m∠1 =5x +50 and m∠2=60x then we can write out:
5x+50 + 60x = 180º
65x +50 = 180
65x +50-50 = 180-50
65x = 130
x= 130/65
x = 2
m∠1 =5x +50 = 5(2) +50 = 60
m∠2=60x = 60 (2) = 120
120º+60º = 180º True
