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Chapter 3: Q6. (page 110)

Complete.

6. Find the values of y and z.

Short Answer

Expert verified

The values of y and z are 50 and 60 respectively.

Step by step solution

01

Step 1. Label the given diagram.

The labelled diagram is:

02

Step 2. Description of step.

From the given diagram it can be noticed that the lines AB and CD are parallel to each other.

From the given diagram it can be noticed that the angles鈭�EFG and鈭�FGH are alternate interior angles.

Therefore,鈭�EFG=鈭�FGH

Therefore, it can be noticed that:

鈭�EFG=鈭�FGHy=50

Therefore, the value of y is 50.

From the given diagram it can be noticed that the angles鈭�EOF and鈭�GOH are vertically opposite angles.

Therefore, 鈭�EOF=鈭�GOH.

Therefore, it can be obtained that:

鈭�EOF=鈭�GOH=z

By using the exterior angle theorem it can be noticed that:

鈭�EOF+鈭�EFO=110z+y=110z+50=110z=110鈭�50z=60

Therefore, the value of z is 60.

03

Step 3. Write the complete statement.

The values of y and z are 50 and 60 respectively.

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