Question

what is the value of v?
write your answer as an integer or as a decimal rounded to the nearest tenth.
v =

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(5v + 4=(5v - 42)+2v\).

Step2: Simplify the equation

$$
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$$

Step3: Solve for \(v\)

Subtract \(5v\) from both sides: \(4 = 2v-42\). Then add \(42\) to both sides: \(4 + 42=2v\), so \(46 = 2v\). Divide both sides by \(2\): \(v=\frac{46}{2}=23\).

Answer:

\(23\)