Q17 - Geometry

Question

Complete. $m\angle 1=m\angle 2$, then ? bisects ?.

Step-by-Step Solution

Answer

The answer is “If $m\angle 2=m\angle 1$, then $\overrightarrow{LE}$ bisects $\angle ALS$”.

Step 1. Bisector of an angle.

The ray that divides an angle into two congruent adjacent angles then it is defined as the bisector of an angle.

Step 2. Observe the diagram.

Clearly, from the given figure, it is observed that $\angle ALS=\angle ALE+\angle ELS$ wherein $\angle ALE=m\angle 2$ and $\angle ELS=m\angle 1$.

Step 3. Find out the bisector if m∠1=m∠2.

Since, $m\angle 2=m\angle 1$, therefore, ray $\overrightarrow{LE}$ must bisect the angle $\angle ALS$.

Thus, the complete statement is “If $m\angle 2=m\angle 1$, then $\overrightarrow{LE}$ bisects $\angle ALS$”.