Question

find the value of x.
(there is a triangle with angles 42°, 91°, and x°)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(42^\circ + 91^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Add \(42^\circ\) and \(91^\circ\): \(42 + 91 = 133\). So, \(133^\circ + x^\circ = 180^\circ\).

Step3: Solve for x

Subtract \(133^\circ\) from \(180^\circ\): \(x = 180 - 133 = 47\).

Answer:

\(47\)