Question

find the missing angle (triangle with angles 75°, 80°, and x; options: 155, 80, 75, 25)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(x + 75^\circ + 80^\circ = 180^\circ\).

Step2: Calculate the sum of known angles

Sum of \(75^\circ\) and \(80^\circ\) is \(75 + 80 = 155^\circ\).

Step3: Solve for \(x\)

Subtract the sum from \(180^\circ\): \(x = 180 - 155 = 25^\circ\).

Answer:

25 (corresponding to the red option with 25)