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 triangle has a right angle (\(90^\circ\)), a \(42^\circ\) angle, and \(x^\circ\).

Step2: Set up the equation

\(42 + 90 + x = 180\)

Step3: Solve for x

First, add \(42\) and \(90\): \(42 + 90 = 132\). Then, subtract \(132\) from \(180\): \(x = 180 - 132 = 48\).

Answer:

\(48\)