Question

1. 137° 102°?

Explanation:

Step1: Use the exterior - angle theorem for polygons

The sum of the exterior angles of a polygon is \(360^{\circ}\). Let the unknown angle be \(x\).

Step2: Set up the equation

We know that \(137^{\circ}+102^{\circ}+x = 360^{\circ}\) (since the sum of exterior angles of a polygon is \(360^{\circ}\)).

Step3: Solve for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(121^{\circ}\)