Question

the measures of the angles of a triangle are shown in the figure below. solve for x. 104° (x + 9)° 42° answer attempt 1 out of 3 x =

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, we have the equation \(104 + 42+(x + 9)=180\).

Step2: Simplify the left - hand side

First, add the constant terms: \(104+42 + 9+x=180\), which simplifies to \(155+x=180\).

Step3: Solve for x

Subtract 155 from both sides of the equation: \(x=180 - 155\).

Answer:

\(x = 25\)