Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
(figure of a triangle with angles 55°, 76°, and x°)
answer attempt 1 out of 2
x = blank submit answer

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(55^\circ + 76^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Add \(55\) and \(76\): \(55 + 76 = 131\). So, \(131 + x = 180\).

Step3: Solve for x

Subtract \(131\) from \(180\): \(x = 180 - 131 = 49\).

Answer:

\(49\)