Question

In the diagram below, if < 2 = 123 °, what would be the measure of < 7?

Answer 1

Given:

$\angle2=123^{\circ}$

To find:

The angle 7.

Explanation:

We know that,

The sum of the exterior angles is supplementary.

So, we can write

$\begin{gathered} \angle2+\angle7=180 \\ 123^{\circ}+\angle7=180 \\ \angle7=180-123 \\ \angle7=57^{\circ} \end{gathered}$

Therefore, angle 7 is 57 degrees.

Final answer:

Angle 7 is 57 degrees.