Question

the diagram shows a triangle.
triangle with angles ( b - 17^circ ), ( 2b - 19^circ ), and ( 30^circ )
what is the value of ( b )?
( b = square^circ )

Explanation:

Step1: Sum angles to 180°

$(b-17^\circ)+(2b-19^\circ)+30^\circ=180^\circ$

Step2: Simplify left side

$b-17+2b-19+30=180$
$3b-6=180$

Step3: Solve for b

$3b=180+6$
$3b=186$
$b=\frac{186}{3}$

Answer:

$62$