Subjects geometry

Angle B D7D0C4

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Question: Solve for $b$. 30° 125° b b = [?]°
1. **State the problem:** We are given a triangle with angles $30^\circ$, $125^\circ$, and $b$, and we need to find the value of $b$. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of any triangle is always $$180^\circ$$. 3. **Set up the equation:** $$30^\circ + 125^\circ + b = 180^\circ$$ 4. **Add the known angles:** $$155^\circ + b = 180^\circ$$ 5. **Isolate $b$ by subtracting $155^\circ$ from both sides:** $$b = 180^\circ - 155^\circ$$ 6. **Calculate the value:** $$b = 25^\circ$$ **Final answer:** $$b = 25^\circ$$
30°125°b