Question

what is the value of x?
write your answer as an integer or as a decimal rounded to the nearest tenth.
x = \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:
$$9x = 32 + (2x + 19)$$

Step2: Simplify the right-hand side

Combine the constant terms:
$$9x = 2x + 51$$

Step3: Isolate the x terms

Subtract $2x$ from both sides:
$$9x - 2x = 51$$
$$7x = 51$$

Step4: Solve for x

Divide both sides by 7:
$$x = \frac{51}{7} \approx 7.3$$

Answer:

$x \approx 7.3$