Question

find the missing angle (triangle with angles 77°, 64°, x°; options: 64, 141, 39, 77)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Set up the equation

Let the missing angle be \(x\). Then \(x + 77^\circ + 64^\circ = 180^\circ\).

Step3: Solve for \(x\)

First, add \(77^\circ\) and \(64^\circ\): \(77 + 64 = 141\). Then, \(x = 180 - 141 = 39\).

Answer:

39