Question

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

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). This triangle has a right angle (\(90^\circ\)) and a \(36^\circ\) angle, plus \(x^\circ\).

$$x + 90 + 36 = 180$$

Step2: Simplify and solve for \(x\)

First, add \(90\) and \(36\): \(90 + 36 = 126\). Then the equation becomes:

$$x + 126 = 180$$

Subtract \(126\) from both sides:

$$x = 180 - 126$$

$$x = 54$$

Answer:

\(54\)