Question

xy using algebra find the value of x. (review 4.1) 50. 31°

Explanation:

Step1: Recall the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). For a right - triangle (one angle is \(90^{\circ}\)), if the angles are \(31^{\circ}\), \(x^{\circ}\), and \(90^{\circ}\), then the equation is \(x + 31+90=180\).

Step2: Simplify the left - hand side of the equation

\(x + 121=180\).

Step3: Solve for \(x\)

Subtract \(121\) from both sides of the equation: \(x=180 - 121\).

Answer:

\(x = 59\)