Question

the measures of the angles of a triangle are shown in the figure below. solve for x. 43° x° 72° answer attempt 1 out of 2 x = submit answer

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(43^\circ + 72^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Sum of \(43^\circ\) and \(72^\circ\) is \(43 + 72 = 115\). So, \(115 + x = 180\).

Step3: Solve for x

Subtract 115 from both sides: \(x = 180 - 115 = 65\).

Answer:

\(x = 65\)