Q9 - Geometry

Question

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

• $\angle EDB$
  

Step-by-Step Solution

Answer

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

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