Question

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

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). This is a right triangle, so one angle is \(90^\circ\), another is \(21^\circ\), and the third is \(x^\circ\).

Step2: Set up the equation

$$90 + 21 + x = 180$$

Step3: Solve for \(x\)

First, add \(90\) and \(21\): \(90 + 21 = 111\). Then, subtract \(111\) from \(180\): \(x = 180 - 111\). So, \(x = 69\).

Answer:

\(x = 69\)