Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up the equation

We know one angle is 90° (right - angle), another is 44°, and the third is \(x\)°. So, \(x + 44+90=180\).

Step3: Solve the equation for \(x\)

First, simplify the left - hand side: \(x + 134 = 180\). Then, subtract 134 from both sides: \(x=180 - 134\).
\(x = 46\)

Answer:

46