Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer attempt 1 out of 3
x =

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). This triangle has a right angle (\(90^\circ\)) and a \(46^\circ\) angle.

Step2: Set up the equation

Let the unknown angle be \(x\). So, \(x + 90 + 46 = 180\).

Step3: Solve for \(x\)

Simplify the left side: \(x + 136 = 180\). Subtract \(136\) from both sides: \(x = 180 - 136 = 44\).

Answer:

\(44\)