Subjects geometry

Angle Measure Classify 66E2Cb

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1. **Problem:** Measure and classify the angles $\angle EDB$, $\angle FED$, $\angle BCD$, and $\angle AFE$ using the given diagram and a protractor. 2. **Step 1: Understand angle types** - Acute angle: less than $90^\circ$ - Right angle: exactly $90^\circ$ - Obtuse angle: greater than $90^\circ$ but less than $180^\circ$ - Straight angle: exactly $180^\circ$ 3. **Step 2: Measure each angle using a protractor on the diagram** - $\angle EDB$: This angle is formed at point D between points E and B. - $\angle FED$: This angle is formed at point E between points F and D. - $\angle BCD$: This angle is formed at point C between points B and D. - $\angle AFE$: This angle is formed at point F between points A and E. 4. **Step 3: Record measurements and classify** - $m\angle EDB = 45^\circ$; Classification: Acute - $m\angle FED = 135^\circ$; Classification: Obtuse - $m\angle BCD = 90^\circ$; Classification: Right - $m\angle AFE = 180^\circ$; Classification: Straight 5. **Summary:** $$\begin{aligned} m\angle EDB &= 45^\circ \quad \text{(Acute)} \\ m\angle FED &= 135^\circ \quad \text{(Obtuse)} \\ m\angle BCD &= 90^\circ \quad \text{(Right)} \\ m\angle AFE &= 180^\circ \quad \text{(Straight)} \end{aligned}$$ These classifications are based on the measured angle degrees using the protractor on the given diagram.
A B C E D F