Question

the measures of the angles of a triangle are shown in the figure below. solve for x. 30° 103° answer x =

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, we have the equation \(30 + 103+x=180\).

Step2: Simplify the left - hand side

\(30+103 = 133\), so the equation becomes \(133 + x=180\).

Step3: Solve for x

Subtract 133 from both sides of the equation: \(x=180 - 133\).
\(x = 47\).

Answer:

47