Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((u - 41)+(u - 38)+53=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((u + u)+(-41-38 + 53)=180\).
\(2u+(-26)=180\), which is \(2u-26 = 180\).

Step3: Solve for \(u\)

Add \(26\) to both sides of the equation: \(2u-26+26=180 + 26\).
\(2u=206\).
Divide both sides by \(2\): \(u=\frac{206}{2}\).

Answer:

\(u = 103\)