Question

1. find the missing angle. 35° 100° exterior ?

Explanation:

Step1: Recall the exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Also, we know that vertical angles are equal. The angle of \(35^{\circ}\) and its vertical angle (inside the triangle) are equal. Let the two non - adjacent interior angles of the triangle with respect to the exterior angle be \(35^{\circ}\) (vertical angle) and \(100^{\circ}\).

Step2: Calculate the exterior angle

According to the exterior angle theorem, the measure of the exterior angle is the sum of the two non - adjacent interior angles. So we add \(35^{\circ}\) and \(100^{\circ}\).
\(35^{\circ}+ 100^{\circ}=135^{\circ}\)

Answer:

\(135^{\circ}\)