Question

The given figure shows a rhombus ABCD.Find x and y.​

Answer 1

Step-by-step explanation:

$4x - 4 = 3x + 2 \: \: \: \: \: (sides \: of \: rhombs \: are \: equal) \\ 4x - 3x = 2 + 4 \\ x = 6$

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Answer 2

Answer:

x=6,y=21

Step-by-step explanation:

IN rhombus ABCD

AB=AD ( all sides are equal)

3x+2=4x-4

4x-3x=4+2

x=6

AB=3×6 +2

AB=18+2

AB= 20 cm

In triangle ADB

AB= AD

Therefore, angle ADB= angle ABC

(angle opposite to equal sides are equal)

angle ADB+ angle ABC+ angle BAD=180

(sum of all angles of triangle is 180)

angle ADB+ angle ABC+60=180

angle ADB+ angle ABC= 180-60

2(angle ADB)=120

[since angle ADB=angle ABC]

angle ADB= 120/2

angle ADB=60

in triangle ADB

all the angles are 60

therefore it is a equilateral triangle

AB=BD=AD

AB=BD

20=y-1

y = 20+1

y=21