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Chapter 1: Q17 (page 21)

Complete. m鈭�1=m鈭�2, then ? bisects ?.

Short Answer

Expert verified

The answer is 鈥淚f m鈭�2=m鈭�1, thenLE鈫� bisects 鈭�ALS鈥�.

Step by step solution

01

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.

02

Step 2. Observe the diagram.

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

03

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

Since, m鈭�2=m鈭�1, therefore, ray LE鈫�must bisect the angle 鈭�ALS.

Thus, the complete statement is 鈥淚f m鈭�2=m鈭�1, thenLE鈫� bisects 鈭�ALS鈥�.

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