Question

what is the value of t?
9t - 2°
7t
3t - 18°
t = \square°
submit
work it out

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$9t - 2 = (3t - 18) + 7t$$

Step2: Simplify right-hand side

Combine like terms on the right:
$$9t - 2 = 10t - 18$$

Step3: Rearrange to solve for t

Subtract $9t$ and add 18 to both sides:
$$-2 + 18 = 10t - 9t$$
$$16 = t$$

Answer:

$t=16$