Question

18 fill in the blank 1 point find the exterior angle. 19 multiple choice 1 point classify the following angles.

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
In triangle \(RST\), the exterior angle \(x\) is equal to the sum of the interior angles \(\angle R\) and \(\angle S\).
So, \(x=\angle R+\angle S\).

Step2: Substitute the values of the angles

Given \(\angle R = 47^{\circ}\) and \(\angle S=66^{\circ}\).
Then \(x = 47+66\).
\(x=113\)

Answer:

\(113\)