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Chapter 5: Q. 17 (page 199)

For the following figure, given that l||m||n. Find the values of x,y,and Z.

Short Answer

Expert verified

The values arex=8,y=4,z=42 .

Step by step solution

01

Step 1- Check the figure.

Consider the figure.

02

Step 2- Step description.

Since I is parallel to n and n are bisected by m therefore calculate the values as follows:

5x鈭�4=3(x+4)5x鈭�4=3x+125x鈭�3x=12+42x=16x=8

Since m is parallel to n thus,

6y+2=2y2鈭�62y2鈭�6y鈭�8=0y2鈭�3y鈭�4=0y2鈭�4y+y鈭�4=0y(y鈭�4)+1(y鈭�4)=0(y鈭�4)(y+1)=0y=鈭�1,4

03

Step 3- Step description.

Use the property of median as follows:

6y+2=2y2鈭�6z=54+302z=842z=42

Therefore, the values are x=8,y=4,z=42.

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