Subjects geometry

Triangle Angle 6900Fe

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1. **State the problem:** We have a triangle with angles 46°, 40°, and an unknown angle $b$. We need to find the value of $b$. 2. **Formula used:** The sum of the interior angles of any triangle is always 180°. This means: $$46° + 40° + b = 180°$$ 3. **Calculate $b$:** $$b = 180° - 46° - 40°$$ $$b = 180° - 86°$$ $$b = 94°$$ 4. **Explanation:** Since the sum of all angles in a triangle must be 180°, subtracting the known angles from 180° gives the missing angle $b$. **Final answer:** $$b = 94°$$