Question

what is the value of t? 31° 8t - 17° 9t - 3° t = □°

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. So:
$$9t - 3 = 31 + (8t - 17)$$

Step2: Simplify right-hand side

Combine like terms:
$$9t - 3 = 8t + 14$$

Step3: Isolate variable t

Subtract $8t$ from both sides, then add 3 to both sides:
$$9t - 8t = 14 + 3$$
$$t = 17$$

Answer:

$17$