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Eva8 [605]
3 years ago
5

Please help me ASAP, thanks!

Mathematics
1 answer:
jenyasd209 [6]3 years ago
6 0
The answer is option c
I hope this helps!
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Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5.
Ainat [17]

Answer: Angles are (\frac{1080}{11}) ^{\circ} and (\frac{900}{11})^{\circ}

Step-by-step explanation:

Here, the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5.

Let the  angles formed by diagonals and the sides of the rhombus are 6x and 5x.

Where x is any number.

Thus, By the property of rhombus,

Diagonals perpendicularly bisect each other.

Therefore, 6 x + 5 x + 90^{\circ} = 180^{\circ}

⇒ 11 x + 90^{\circ} = 180^{\circ}

⇒ 11 x = 90^{\circ}

⇒ x = \frac{90}{11}

Therefore, the  angles formed by diagonals and the sides of the rhombus are (\frac{540}{11} )^{\circ} and (\frac{450}{11})^{\circ}

⇒ The angles of rhombus are  (\frac{1080}{11} )^{\circ} and  (\frac{900}{11})^{\circ}


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