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

Question

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

Explanation:

Step1: Sum angles to 180°

$37 + (3v-16) + (v-13) = 180$

Step2: Simplify left side

$37 -16 -13 + 3v + v = 180$
$8 + 4v = 180$

Step3: Isolate 4v term

$4v = 180 - 8$
$4v = 172$

Step4: Solve for v

$v = \frac{172}{4}$

Answer:

$43$