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Chapter 1: Q5. (page 29)

Complete.

m鈭�1+m鈭�2=m鈭�?炉

Short Answer

Expert verified

The complete statement is:m鈭�1+m鈭�2=m鈭�JOT炉.

Step by step solution

01

Step 1. Write the Angle Addition Postulate.

The Angle Addition Postulate states that:

If a pointBlies in the interior of鈭�AOCthen m鈭�AOB+m鈭�BOC=m鈭�AOC.

02

Step 2. Observe the diagram.

The given diagram is:

From the given diagram, it can be noticed that:

m鈭�JOK=m鈭�1m鈭�KOT=m鈭�2

03

Step 3. Write the equation expressing the relation between angles JOK, KOT, and JOT by using the Segment Addition Postulate.

From the given diagram it can be noticed that:

The point is lying in the interior of the angle JOT.

Therefore, by using the angle addition postulate:

m鈭�JOK+m鈭�KOT=m鈭�JOT

04

Step 4. Substitute the values of angles JOK, KOT, and JOT in the above equation.

m鈭�JOK+m鈭�KOT=m鈭�JOTm鈭�1+m鈭�2=m鈭�JOT

05

Step 5. Complete the given statement.

Therefore, the complete statement is m鈭�1+m鈭�2=m鈭�JOT.

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