Question

the measures of the angles of a triangle are shown in the figure below. solve for x. 36° (2x+10)° answer attempt 1 out of 3 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 (\(90^\circ\)), \(36^\circ\), and \((2x + 10)^\circ\). So, \(90 + 36 + (2x + 10) = 180\).

Step2: Simplify the equation

First, add the known angles: \(90 + 36 + 10 = 136\). So the equation becomes \(136 + 2x = 180\).

Step3: Solve for \(x\)

Subtract \(136\) from both sides: \(2x = 180 - 136 = 44\). Then divide by \(2\): \(x=\frac{44}{2}=22\).

Answer:

\(22\)