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`