Question

what is the value of t?
3t+10°
18t
13t+5°
write your answer as an integer or as a decimal rounded to the nearest tenth.
t =
submit

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$18t = (3t+10) + (13t+5)$$

Step2: Simplify right-hand side

Combine like terms:
$$18t = 16t + 15$$

Step3: Isolate t term

Subtract $16t$ from both sides:
$$18t - 16t = 15$$
$$2t = 15$$

Step4: Solve for t

Divide both sides by 2:
$$t = \frac{15}{2}$$

Answer:

$t = 7.5$