Answer:
60 degrees
Step-by-step explanation:
Hi there!
Angle NAB and angle CAB are supplementary angles, meaning they add up to 180 degrees. First, solve for angle CAB:
180 - 100 = 80
Therefore, angle CAB measures 80 degrees.
The sum of the interior angles of a triangle is always 180 degrees. Now, we can solve for angle B by subtracting 80 and 40 from 180:
180 - 80 - 40 = 60
Therefore, angle B measures 60 degrees.
Another way we can solve this is by viewing the 100-degree angle as an exterior angle of a triangle. The two opposite interior angles always add up to an exterior angle of a triangle.
100 = 40 + 60
Therefore, angle B measures 60 degrees.
I hope this helps!
