Subjects geometry

Angle Alpha Reflex F5De94

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1. **State the problem:** We need to find the size of angle $\alpha$ and then use it to find the size of the reflex angle $b$. 2. **Identify angle $\alpha$:** From the description, angle $\alpha$ is between about 40° and the horizontal baseline at 0°. 3. **Calculate angle $\alpha$:** Since $\alpha$ is the smaller angle between the baseline and the ray, and it is marked near 40°, we approximate: $$\alpha \approx 40^\circ$$ 4. **Calculate reflex angle $b$:** A reflex angle is the larger angle formed on the opposite side of the baseline. Since a full circle is 360°, the reflex angle $b$ is: $$b = 360^\circ - \alpha$$ Substitute $\alpha = 40^\circ$: $$b = 360^\circ - 40^\circ = 320^\circ$$ 5. **Final answers:** - Angle $\alpha$ is approximately $40^\circ$. - Reflex angle $b$ is approximately $320^\circ$. Both rounded to the nearest degree as requested.