Question

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

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, \(x + x+90 = 180\).

Step2: Combine like - terms

Combine the \(x\) terms: \(2x+90 = 180\).

Step3: Isolate the variable term

Subtract 90 from both sides: \(2x=180 - 90\), which simplifies to \(2x = 90\).

Step4: Solve for \(x\)

Divide both sides by 2: \(x=\frac{90}{2}=45\).

Answer:

45