Question

interior and exterior triangle angles
question
in $delta tuv$, $mangle t = (2x - 10)^circ$, $mangle u = (3x - 8)^circ$, and $mangle v = (7x - 18)^circ$. what is the value of $x$?
answer
attempt 1 out of 2
$x = \square$ submit answer

Explanation:

Step1: Sum interior angles to 180°

$(2x-10)+(3x-8)+(7x-18)=180$

Step2: Combine like terms

$12x - 36 = 180$

Step3: Isolate the variable term

$12x = 180 + 36$
$12x = 216$

Step4: Solve for x

$x = \frac{216}{12}$

Answer:

$x=18$