Question

a side of the triangle below has been extended to form an exterior
find the value of $x$.
answer attempt 2 out of 2
$x = $

Explanation:

Step1: Identify supplementary angle pair

$x + 126 = 180$

Step2: Solve for adjacent interior angle

$x = 180 - 126 = 54$

Step3: Use exterior angle theorem

$126 = 16 + \text{opposite interior angle}$

Step4: Calculate opposite interior angle

$\text{opposite interior angle} = 126 - 16 = 110$

Step5: Verify with triangle angle sum

$16 + 110 + x = 180$
$x = 180 - 126 = 54$

Answer:

$x = 54$