Question

find the value of x. triangle with angles 66°, 36°, and x° x = blank box

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(66^\circ + 36^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Add \(66\) and \(36\): \(66 + 36 = 102\). So, \(102 + x = 180\).

Step3: Solve for x

Subtract \(102\) from \(180\): \(x = 180 - 102 = 78\).

Answer:

\(78\)