Subjects geometry

Hospital Angle 556F0E

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1. **Problem Statement:** Find the missing interior angle of the Hospital land area, which is a triangle with given angles 63.4° and 45°. 2. **Formula Used:** The sum of interior angles in a triangle is always $$180^\circ$$. 3. **Step-by-step Solution:** 1. Sum the given angles: $$63.4^\circ + 45^\circ = 108.4^\circ$$. 2. Subtract this sum from the total interior angle sum of the triangle: $$180^\circ - 108.4^\circ = 71.6^\circ$$ 3. Therefore, the missing angle is $$71.6^\circ$$. 4. **Explanation:** Since the total of all interior angles in a triangle must be 180 degrees, we add the known angles and subtract from 180 to find the unknown angle. **Final Answer:** The missing angle in the Hospital triangle is $$71.6^\circ$$.