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 of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(47v + 50=(23v + 13)+(34v + 26)\).

Step2: Simplify the right - hand side

First, simplify \((23v + 13)+(34v + 26)\):

$$
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$$

So the equation becomes \(47v + 50=57v+39\).

Step3: Solve for \(v\)

Subtract \(47v\) from both sides: \(50 = 10v+39\).
Then subtract 39 from both sides: \(10v=50 - 39\), so \(10v = 11\).
Divide both sides by 10: \(v=\frac{11}{10}=1.1\).

Answer:

\(1.1\)