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: Use the triangle - angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((2x + 16)+48 + 90=180\).

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: \(2x+16 + 48+90=2x+(16 + 48+90)=2x + 154\). The equation becomes \(2x+154 = 180\).

Step3: Solve for \(x\)

Subtract \(154\) from both sides: \(2x=180 - 154\), so \(2x = 26\). Then divide both sides by \(2\): \(x=\frac{26}{2}\).

Answer:

\(x = 13\)