Question

1. consider the diagram below.

solve for x.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is $180^\circ$.

Step2: Set up the equation

$x + 45 + 59 = 180$

Step3: Calculate known angle sum

$45 + 59 = 104$

Step4: Solve for $x$

$x = 180 - 104$

Answer:

$76$