Question

a triangle has interior angle measures of $2y - 16^circ$, $y - 9^circ$, and $2y - 19^circ$. what is the value of $y$?
write your answer as an integer or as a decimal rounded to the nearest tenth.
$y = \square^circ$

Explanation:

Step1: Sum angles to 180°

$(2y - 16) + (y - 9) + (2y - 19) = 180$

Step2: Combine like terms

$5y - 44 = 180$

Step3: Isolate term with $y$

$5y = 180 + 44$
$5y = 224$

Step4: Solve for $y$

$y = \frac{224}{5}$

Answer:

$y = 44.8$°