Question

what is the value of y?
y - 17°
y + 35°

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. So:
$y+35^\circ = (y-17^\circ) + y$

Step2: Simplify the equation

Combine like terms on the right side:
$y+35^\circ = 2y - 17^\circ$

Step3: Solve for y

Subtract $y$ from both sides, then add $17^\circ$ to both sides:
$35^\circ + 17^\circ = 2y - y$
$52^\circ = y$

Answer:

$y=52^\circ$