Question

what is the value of x? x, x - 33°, x - 48°

Explanation:

Step1: Identify exterior angle property

The exterior angle $x$ of a triangle equals the sum of the two non-adjacent interior angles.

Step2: Set up the equation

$x = (x-33) + (x-48)$

Step3: Simplify the right-hand side

$x = 2x - 81$

Step4: Solve for $x$

$x - 2x = -81$
$-x = -81$
$x = 81$

Answer:

$81^\circ$