Question

what is the value of x?
x - 41°
x
x + 30°

Explanation:

Step1: Use exterior angle property

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. So:
$x + 30^\circ = (x - 41^\circ) + x$

Step2: Simplify the equation

Combine like terms on the right side:
$x + 30^\circ = 2x - 41^\circ$

Step3: Isolate x variable

Subtract $x$ from both sides, then add $41^\circ$ to both sides:
$30^\circ + 41^\circ = 2x - x$

Step4: Calculate final value

Compute the sum to solve for $x$:
$x = 71^\circ$

Answer:

$71^\circ$