Question

No.19 Two adjacent angles of a rhombus are in the ratio 2 : 3 .Find all the angles of rhombus.

Answer 1

Heya ☺

Let the adjacent angles of a rhombus be 2x and 3x.

We know that the sum of the adjacent angles is equal to 180°.

2x + 3x = 180

=> 5x = 180

=> x = 180/5

=> x = 36

Hence , AB = BC = 2 × 36° = 72°

AD = DC = 3 × 36° = 108°.

Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Thanks

Answer 2

Answer:

hey

later the adjacent angle of a rhombus be 2x and 3x

we know that the sum of adjacent angle is equal to

180°

2x + 3x = 180°

5x =180°

x =36°

Hence, AB = BC = 2x36° = 72°

AD = DC = 3x36° = 108°.

hence the angle of rhombus are 72°, 108°

72°and108°

Step-by-step explanation:

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