Subjects geometry

Triangle Angles B1D42F

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1. **State the problem:** We have a triangle with three angles: one is 36°, the second is labeled 4s, and the third is labeled 2s. We need to find the value of $s$ in degrees. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of any triangle is always 180°. 3. **Set up the equation:** Using the angle sum rule, $$36 + 4s + 2s = 180$$ 4. **Simplify the equation:** Combine like terms, $$36 + 6s = 180$$ 5. **Isolate $s$:** Subtract 36 from both sides, $$6s = 180 - 36$$ $$6s = 144$$ 6. **Solve for $s$:** Divide both sides by 6, $$s = \frac{144}{6} = 24$$ **Final answer:** $$s = 24^\circ$$