Question

State whether the angle appears to be acute, right, obtuse, or straight. Then estimate its measure.

• $\angle EDB$
  

Short answer

The angle $\angle EDB$appears to be obtuse angle and it’s estimated measure is $(m\angle 7+m\angle 6)$.

Step-by-step solution

Step 1. Apply the definition of obtuse angle

Obtuse angle is an angle which measures between $90°$to $180°$.

Step 2. Description of step

From the given figure, it can be observed that the $\angle EDB$measure between$90°$ and $180°$therefore, $\angle EDB$appears to be obtuse angle.

Step 3. Estimate the measure of ∠EDB

Clearly,$\angle EDB=\angle EDC+\angle CDB$ wherein$\angle EDC=m\angle 7$ and $\angle CDB=m\angle 6$.

Therefore, $\angle EDB=m\angle 7+m\angle 6$.