Question

find the value of $x$ for the triangle with angles $46^\circ$, $61^\circ$, and $(8x+11)^\circ$
answer
$x =$

Explanation:

Step1: Sum triangle angles to 180°

$46 + 61 + (8x + 11) = 180$

Step2: Simplify left side

$46+61+11 + 8x = 180$
$118 + 8x = 180$

Step3: Isolate term with x

$8x = 180 - 118$
$8x = 62$

Step4: Solve for x

$x = \frac{62}{8}$
$x = 7.75$

Answer:

$7.75$