Question

the measures of the angles of a triangle are shown in the figure below. solve for x. triangle image with angles 49°, 34°, and x° answer attempt 1 out of 2 x =

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(49^\circ + 34^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Add \(49\) and \(34\): \(49 + 34 = 83\). So, \(83^\circ + x^\circ = 180^\circ\).

Step3: Solve for x

Subtract \(83\) from \(180\): \(x = 180 - 83 = 97\).

Answer:

\(97\)