Subjects geometry

Triangle Angle A8Aab5

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1. **State the problem:** We have a triangle with two known angles: 50° and 100°. We need to find the third angle, denoted as $v$. 2. **Formula used:** The sum of the interior angles in any triangle is always 180°. This is expressed as: $$\text{Angle}_1 + \text{Angle}_2 + \text{Angle}_3 = 180^\circ$$ 3. **Apply the formula:** Substitute the known angles: $$50^\circ + 100^\circ + v = 180^\circ$$ 4. **Solve for $v$:** $$v = 180^\circ - 50^\circ - 100^\circ$$ 5. **Calculate:** $$v = 180^\circ - 150^\circ = 30^\circ$$ 6. **Conclusion:** The value of $v$ is 30°.
50°100°v