Question

what is the value of t? 36t - 31° 19t + 9° t + 40°

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. So:
$36t - 31 = (19t + 9) + (t + 40)$

Step2: Simplify right-hand side

Combine like terms on the right:
$36t - 31 = 20t + 49$

Step3: Isolate t terms

Subtract $20t$ from both sides:
$36t - 20t - 31 = 49$
$16t - 31 = 49$

Step4: Solve for t

Add 31 to both sides, then divide by 16:
$16t = 49 + 31$
$16t = 80$
$t = \frac{80}{16}$

Answer:

$t = 5$