Question

It is asking to find the angles of each one, but I don't really now how

Answer 1

Given data:

The given image of the triangle.

The expression for the supplementary angle is,

`\begin{gathered} m\angle3+92^(\circ)=180^(\circ) \\ m\angle3=88^(\circ) \\ m\angle2+100^(\circ)=180^(\circ) \\ m\angle2=80^(\circ) \end{gathered}`

The measurement of the angle 1 is,

`\begin{gathered} m\angle1+m\angle2+m\angle3=180^(\circ) \\ m\angle1+80^(\circ)+88^(\circ)=180^(\circ) \\ m\angle1=12^(\circ) \end{gathered}`

The angle 4 is,

`\begin{gathered} m\angle4=180^(\circ)-12^(\circ) \\ =168^(\circ) \end{gathered}`

Thus, the angle 1 is 12 degrees, angle 2 is 80 degrees, angle 3 is 88 degrees and angle 4 is 168 degrees.