
In the figure above, two sides of a triangle are extended. What is the value of ?
Explanation
Context: Triangle with base angles and , two sides extended at top vertex. Find (angle between the extensions).
Answer: B:
Why: is an exterior angle at the top vertex. By the exterior angle theorem: . (Or: interior angle at top ; the vertically opposite angle between extensions .)
Traps: A () miscalculates. C () wrong. D () doubles one angle.