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Need help with this number 3 and 4 all go together

Need help with this number 3 and 4 all go together-example-1
User Gaganbm
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Solution:

Given:


\begin{gathered} m\angle3=65^0 \\ m\angle11=100^0 \end{gathered}
\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}

Therefore, the measure of angle 2 is 115 degrees.


\begin{gathered} m\angle5=m\angle11.........................(alternate\text{ exterior angles are congruent\rparen} \\ m\angle5=100^0 \end{gathered}

Therefore, the measure of angle 5 is 100 degrees.


\begin{gathered} m\angle13=m\angle3.........................(alternate\text{ interior angles are congruent\rparen} \\ m\angle13=65^0 \end{gathered}

Therefore, the measure of angle 13 is 65 degrees.

Need help with this number 3 and 4 all go together-example-1
Need help with this number 3 and 4 all go together-example-2
User Timur
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