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, \(7u - 23=50 + 4u\).

Step2: Solve the equation for \(u\)

Subtract \(4u\) from both sides: \(7u-4u - 23=50+4u - 4u\), which simplifies to \(3u-23 = 50\).
Add \(23\) to both sides: \(3u-23 + 23=50 + 23\), so \(3u=73\).
Divide both sides by \(3\): \(u=\frac{73}{3}\approx24.3\).

Answer:

\(24.3\)