Question

question 19/25
19
find the measure of the exterior angle in the following figure.
degrees

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Identify non - adjacent interior angles

The two non - adjacent interior angles to the exterior angle $\angle BDX$ are $\angle BCD = 40^{\circ}$ and $\angle CBD=40^{\circ}$.

Step3: Calculate the exterior angle

$\angle BDX=40^{\circ}+40^{\circ}=80^{\circ}$

Answer:

$80$