Subjects geometry

Triangle Angles 86F366

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1. **Problem statement:** You want a triangle drawn, and you want to know how to find its angles. 2. **Important rule:** The angles in any triangle always add up to $$180^\circ$$. 3. **Formula:** If the three angles are $A$, $B$, and $C$, then $$A+B+C=180^\circ$$. 4. **How to find a missing angle:** If two angles are known, subtract their sum from $180^\circ$. $$\text{missing angle}=180^\circ-(\text{known angle 1}+\text{known angle 2})$$ 5. **Example:** Suppose a triangle has angles $50^\circ$ and $60^\circ$. $$50^\circ+60^\circ=110^\circ$$ $$180^\circ-110^\circ=70^\circ$$ So the third angle is $70^\circ$. 6. **Why this works:** A triangle is always a three-sided shape, and all its interior angles together make a straight total of $180^\circ$. 7. **Final answer:** To find a triangle’s angles, use $$A+B+C=180^\circ$$, and subtract the known angles from $180^\circ$ to get any missing one.
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