Question

a triangle has interior angle measures of 2u - 15°, u + 13°, and 2u. what is the value of u? write your answer as an integer or as a decimal rounded to the nearest tenth. u =

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, we set up the equation \((2u - 15)+(u + 13)+2u=180\).

Step2: Combine like - terms

Combine the \(u\) terms and the constant terms: \((2u+u + 2u)+(-15 + 13)=180\), which simplifies to \(5u-2 = 180\).

Step3: Isolate the variable term

Add 2 to both sides of the equation: \(5u-2 + 2=180 + 2\), resulting in \(5u=182\).

Step4: Solve for \(u\)

Divide both sides of the equation by 5: \(u=\frac{182}{5}=36.4\).

Answer:

\(36.4\)