Question

i got m<3=65 but not sure would you help thank you!find the measure of 3.

Answer 1

Step 1

Given;

Required; Find the measure of angle 3

Step 2

Find the measure of angle 3

$\begin{gathered} m\angle1=140\text{ \lparen opposing interior angle is equal to the exterior angle\rparen} \\ m\angle2=180-140=40^{^o}(sum\text{ of angles on a striaght line\rparen} \end{gathered}$$180-105=75^o(sum\text{ of angles on a straight line\rparen}$

Thus,

$\begin{gathered} m\angle3=180-40-75(sum\text{ of angles in atriangle\rparen} \\ m\angle3=65^o \end{gathered}$

Answer;

$m\angle3=65^o$