Question

1. consider the diagram below.

solve for k.

Explanation:

Step1: Find adjacent interior angles

First, calculate the interior angles adjacent to the given exterior angles:
For the 134° exterior angle: $180^\circ - 134^\circ = 46^\circ$
For the 118° exterior angle: $180^\circ - 118^\circ = 62^\circ$

Step2: Sum interior angles to find k

Use the triangle angle sum theorem (sum of interior angles = 180°):
$k^\circ = 180^\circ - 46^\circ - 62^\circ$
$k^\circ = 72^\circ$

Answer:

$k = 72$