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: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, we have the equation \(x + 27+112=180\).

Step2: Simplify the left - hand side

\(x+(27 + 112)=x + 139\). So the equation becomes \(x+139 = 180\).

Step3: Solve for x

Subtract 139 from both sides of the equation: \(x=180 - 139\).

Answer:

\(x = 41\)