Question

the diagram shows a triangle.
what is the value of x?
write your answer as an integer or as a decimal rounded to the nearest tenth.
x = \\(\square\\)°

Explanation:

Step1: Sum angles to 180°

$(2x-11) + (3x-8) + 30 = 180$

Step2: Simplify left side

$5x + 11 = 180$

Step3: Isolate term with x

$5x = 180 - 11$
$5x = 169$

Step4: Solve for x

$x = \frac{169}{5}$

Answer:

$x = 33.8$