Question

1. (5x - 2)° 64°

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
The non - adjacent interior angles are \(36^{\circ}\) and \((x + 32)^{\circ}\), and the exterior angle is \((2x + 1)^{\circ}\). So, \(2x+1=36+(x + 32)\)

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Answer:

\(x = 67\)