Question

А42D3In the diagram above, 21 = 135º.Find the measure of 22.22 = [? ]°

Answer 1

The measure of angle 2 is;

`m\measuredangle2=45^(\circ)`

Step-by-step explanation:

Given the figure in the attached image;

angles 1 and 2 are both interior angles, so they both sum up to 180 degrees.

`m\measuredangle1+m\measuredangle2=180^(\circ)`

given the measure of angle 1;

`m\measuredangle1=135^(\circ)`

substituting the measure of angle 1;

`\begin{gathered} 135+m\measuredangle2=180 \\ m\measuredangle2=180-135 \\ m\measuredangle2=45^(\circ) \end{gathered}`

The measure of angle 2 is;

`m\measuredangle2=45^(\circ)`