Solution:
Given:
[tex]\begin{gathered} m\angle3=65^0 \\ m\angle11=100^0 \end{gathered}[/tex][tex]\begin{gathered} m\angle2+m\angle3=180^0.............the\text{ sum of angles on a straight line} \\ m\angle2+65^0=180^0 \\ m\angle2=180-65 \\ m\angle2=115^0 \end{gathered}[/tex]
Therefore, the measure of angle 2 is 115 degrees.
[tex]\begin{gathered} m\angle5=m\angle11.........................(alternate\text{ exterior angles are congruent\rparen} \\ m\angle5=100^0 \end{gathered}[/tex]
Therefore, the measure of angle 5 is 100 degrees.
[tex]\begin{gathered} m\angle13=m\angle3.........................(alternate\text{ interior angles are congruent\rparen} \\ m\angle13=65^0 \end{gathered}[/tex]
Therefore, the measure of angle 13 is 65 degrees.
