Question

18. Two adjacent angles of a Rhombus are in the ratio of 1:5 . Find the angles of the
Rhombus ?​

Answer 1

$\huge{\dag}\:{\underline{\boxed{\sf{\purple{ANSWER}}}}}$

ʀᴇǫᴜɪʀᴇᴅ ᴀɴsᴡᴇʀ-:

Given, two adjacent angles of a rhombus are in the ratio 1:5.

Let angles are x and 5x.

We know that adjacent angles of a rhombus are supplementary.

So,x+5x=180

⇒6x=180

⇒x=30And,5x=5×30=150

Thus, angles are 30° and 150°

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ρℓєαѕє тнαηк му αηѕωєяѕ

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Answer 2

$\huge \fbox \colorbox {maroon}{given \: that}$

Two adjacent angles of a Rhombus are in the ratio of 1:5.

$\huge \fbox \colorbox{maroon}{to \: find}$

Two angels of the rhombus.

$\huge \fbox \colorbox{maroon}{solution}$

two adjacent angles is equal to 180°

let the ratio be x

we get 1x and 5x

x+5x=180°

6x=180°

$\frac{180}{6} = 30$

so the angels are

1x = 1×30=30

5x=5×30=150

hence the angle of rhombus are

$\boxed {30 \: and \: 150}$