Question

question
in $delta stu, \text{m}angle s=(5x + 4)^circ, \text{m}angle t=(4x - 18)^circ$, and $\text{m}angle u=(2x + 7)^circ$. what is the value of $x?$
answer attempt 1 out of 2
$x = $
submit answer

Explanation:

Step1: Sum angles to 180°

The sum of interior angles of a triangle is $180^\circ$, so:
$$(5x + 4) + (4x - 18) + (2x + 7) = 180$$

Step2: Combine like terms

Add the $x$-terms and constants separately:
$$(5x+4x+2x)+(4-18+7)=180$$
$$11x - 7 = 180$$

Step3: Isolate the $x$-term

Add 7 to both sides of the equation:
$$11x = 180 + 7$$
$$11x = 187$$

Step4: Solve for $x$

Divide both sides by 11:
$$x = \frac{187}{11}$$

Answer:

$17$