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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°

$$(v+19^\circ) + 2v + (v+5^\circ) = 180^\circ$$

Step2: Combine like terms

$$4v + 24^\circ = 180^\circ$$

Step3: Isolate variable term

$$4v = 180^\circ - 24^\circ$$
$$4v = 156^\circ$$

Step4: Solve for v

$$v = \frac{156^\circ}{4}$$

Answer:

$39^\circ$