Question

a triangle has interior angle measures of 62°, 55°, and 8a. what is the value of a? write your answer as an integer or as a decimal rounded to the nearest tenth. a = \\(\square\\)°

Explanation:

Step1: Sum interior angles to 180°

$62 + 55 + 8a = 180$

Step2: Simplify left side

$117 + 8a = 180$

Step3: Isolate term with $a$

$8a = 180 - 117$
$8a = 63$

Step4: Solve for $a$

$a = \frac{63}{8}$

Answer:

$7.9$