Mathematics · Geometry
In a triangle ABC, H is a point on AB and K is a point on AC such that AH = AK. If line segment HK is extended or forms angles such that the exterior angle ∠b = 70° at vertex H and ∠c = 40° is an interior opposite angle, find the value of the angle difference ∠d where ∠d = ∠b - 2(∠c)? Alternatively, if in ΔAHK, AH=AK, and it is part of a larger geometric configuration where the calculated angle ∠d equals:
- 145°
- 225°
- 335°
- 415°✓
Correct answer
15°
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