Question

find the missing angle (triangle with angles 35°, 15°, and x°; options: 50, 15, 130, 35)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(35^\circ + 15^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Sum of \(35^\circ\) and \(15^\circ\) is \(35 + 15 = 50^\circ\).

Step3: Solve for \(x\)

Subtract the sum from \(180^\circ\): \(x = 180 - 50 = 130\).

Answer:

130