Question

the diagram shows a triangle. what is the value of u? u =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, $(u - 50)+(u - 50)+(u - 50)=180$.

Step2: Simplify the left - hand side

Combine like terms: $3(u - 50)=180$.

Step3: Distribute the 3

$3u-150 = 180$.

Step4: Isolate the variable term

Add 150 to both sides: $3u=180 + 150$, so $3u=330$.

Step5: Solve for u

Divide both sides by 3: $u=\frac{330}{3}=110$.

Answer:

110