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.

Step-by-step 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.