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the diagram shows a triangle. what is the value of ( b )? ( b = square^…

Question

the diagram shows a triangle.
what is the value of ( b )?
( b = square^circ )

Explanation:

Step1: Sum angles to 180°

$32 + 4b + (b+8) = 180$

Step2: Simplify left side

$32 + 8 + 4b + b = 180$
$40 + 5b = 180$

Step3: Isolate term with $b$

$5b = 180 - 40$
$5b = 140$

Step4: Solve for $b$

$b = \frac{140}{5}$

Answer:

$b = 28$