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Chapter 5: Q19 (page 170)

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and y.

Short Answer

Expert verified

The value of x and y is 3 and 5 respectively.

Step by step solution

01

Step 1. Apply property of parallelogram.

The opposite sides of a parallelogram are congruent.

In a given figure, by the property of a parallelogram,

2x+8=14;3y=15

02

Step 2. Description of step.

Subtract 8 from both sides of 2x+8=14.

2x+8鈭�8=14鈭�82x=6

03

Step 3. Description of step.

Divide each side of 2x=6 by 2 to obtain the value of x.

2x2=62x=3

04

Step 4. Description of step.

Divide each side of 3y=15 by 3 to obtain the value of y.

3y3=153y=5

Therefore, the value of x and y is 3 and 5 respectively.

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