Question

a triangle contains angles measuring $x^\circ$, $25^\circ$, and $75^\circ$. find the value of $x$.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(x + 25 + 75 = 180\).

Step2: Simplify and solve for \(x\)

First, add \(25\) and \(75\): \(25 + 75 = 100\). Then, \(x + 100 = 180\). Subtract \(100\) from both sides: \(x = 180 - 100 = 80\).

Answer:

\(x = 80\)