Question

what is the value of x?
2x
x+50°
3x-27°
write your answer as an integer or as a decimal rounded to the nearest tenth.
x =

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$x + 50 = 2x + (3x - 27)$$

Step2: Simplify right-hand side

Combine like terms:
$$x + 50 = 5x - 27$$

Step3: Rearrange terms to isolate x

Subtract $x$ and add 27 to both sides:
$$50 + 27 = 5x - x$$
$$77 = 4x$$

Step4: Solve for x

Divide both sides by 4:
$$x = \frac{77}{4}$$

Answer:

$x = 19.3^\circ$