Question

a triangle has interior angle measures of $2x - 4^circ$, $x + 4^circ$, and $57^circ$. 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°

$(2z - 4) + (z + 4) + 57 = 180$

Step2: Simplify left side

$3z + 57 = 180$

Step3: Isolate 3z term

$3z = 180 - 57$
$3z = 123$

Step4: Solve for z

$z = \frac{123}{3}$

Answer:

$41$