Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer
x =

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, for a triangle with angles \(x^{\circ}\), \(81^{\circ}\), and \(40^{\circ}\), we have the equation \(x + 81+40=180\).

Step2: Simplify the left - hand side of the equation

First, add \(81\) and \(40\): \(81 + 40=121\). The equation becomes \(x+121 = 180\).

Step3: Solve for \(x\)

Subtract \(121\) from both sides of the equation. Using the subtraction property of equality \(x=180 - 121\).

Answer:

\(x = 59\)