Mathematics · Geometry
In a right-angled triangle ABC, where ∠C = 90° and the triangle is inscribed in a semicircle with diameter AB, if ∠B = 40°, then what are the values of ∠A and ∠C in ΔABC respectively? (Alternatively, considering the context of a triangle where the angles are standard complementary values, if ∠C = 40° in an obtuse/acute triangle and the original intended correct pair has a specific value, let's repair it logically assuming a triangle with ∠C = 40° and finding a valid configuration. Since the original option A provides 50° and 90°, let ∠C = 40°, then the other two angles must sum up to 140°. Let's fix the question text to a standard geometric property: 'In a right-angled triangle ABC right-angled at B, if ∠C = 40°, then ∠A and ∠B are respectively:')
- 190°, 50°
- 240°, 100°
- 3100°, 40°
- 450°, 90°✓
Correct answer
50°, 90°
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