Question

which of these images represents the next term in the sequence?
find the ( mangle bcd ).
6.

Explanation:

Step1: Recall the exterior angle theorem

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.

Step2: Identify the non - adjacent interior angles

In triangle \(ABC\), for the exterior angle \(\angle BCD\), the non - adjacent interior angles are \(\angle A = 67^{\circ}\) and \(\angle B=35^{\circ}\).

Step3: Calculate \(m\angle BCD\)

Using the exterior angle theorem \(m\angle BCD=\angle A+\angle B\). Substitute \(\angle A = 67^{\circ}\) and \(\angle B = 35^{\circ}\) into the formula: \(m\angle BCD=67^{\circ}+35^{\circ}=102^{\circ}\)

Answer:

D. \(102^{\circ}\)