Question

the diagram shows a triangle.
what is the value of x?
x = \square^\circ

Explanation:

Step1: Sum triangle angles to 180°

$50 + (x+8) + (x+28) = 180$

Step2: Simplify left-hand side

$50 + x + 8 + x + 28 = 180$
$2x + 86 = 180$

Step3: Isolate the x term

$2x = 180 - 86$
$2x = 94$

Step4: Solve for x

$x = \frac{94}{2}$

Answer:

$47$