Question

what is the value of a?
a = \square^\circ

Explanation:

Step1: Use exterior angle theorem

The exterior angle $a$ of a triangle equals the sum of the two non-adjacent interior angles:
$a = (a-50^\circ) + (a-33^\circ)$

Step2: Simplify the right-hand side

Combine like terms:
$a = 2a - 83^\circ$

Step3: Solve for $a$

Subtract $a$ from both sides and rearrange:
$0 = a - 83^\circ$
$a = 83^\circ$

Answer:

$83$