Question

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

Explanation:

Step1: Apply 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, \(36u - 18=43+(u + 50)\).

Step2: Simplify the equation

First, simplify the right - hand side: \(43+(u + 50)=u+93\). Then the equation becomes \(36u-18 = u + 93\).

Step3: Solve for \(u\)

Subtract \(u\) from both sides: \(36u - u-18=u - u+93\), which gives \(35u-18 = 93\). Add 18 to both sides: \(35u-18 + 18=93 + 18\), so \(35u=111\). Divide both sides by 35: \(u=\frac{111}{35}\approx3.2\).

Answer:

\(3.2\)