Question

Find the missing angle m21 m/2=m23=3287157°12

Answer 1

To find angle 2 we need to remember that the addition of the interior angles of any triangle is equal to 180°, then we have:

`\begin{gathered} m\angle2+71+57=180 \\ m\angle2=180-71-57 \\ m\angle2=52 \end{gathered}`

Then m<2=52°.

Now, to find the angle 1 we need to notice that this is the supplementary angle of the 57° shown, then:

`\begin{gathered} m\angle1+57=180 \\ m\angle1=180-57 \\ m\angle1=123 \end{gathered}`

Then m<1=123°.

Finally to find angle 3 we use the same approach as we did for angle 2, in this case we have:

`\begin{gathered} m\angle3+28+123=180 \\ m\angle3=180-123-28 \\ m\angle3=29 \end{gathered}`

Then m<3=29°.