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

Question

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

Explanation:

Step1: Sum triangle angles to 180°

$63 + 9w + 4w = 180$

Step2: Combine like terms

$63 + 13w = 180$

Step3: Isolate variable term

$13w = 180 - 63$
$13w = 117$

Step4: Solve for w

$w = \frac{117}{13}$

Answer:

$9$