Question

answer attempt 1 out of 2
$x = $
submit answer

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \(90^{\circ}+42^{\circ}+(4x + 16)^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

First, add the non - variable angles: \(90 + 42=132\). The equation becomes \(132+(4x + 16)=180\). Then combine like terms: \(4x+(132 + 16)=180\), so \(4x+148 = 180\).

Step3: Solve for x

Subtract 148 from both sides: \(4x=180 - 148\), so \(4x = 32\). Then divide both sides by 4: \(x=\frac{32}{4}\).

Answer:

\(x = 8\)