Two adjacent angles of rhombus are 3x-40- and 2x-20- Find the measurement of the greater angle-

The sum of the adjacent angles of a rhombus is supplementary. So, nbsp; 3x 40^∘+2x+20^∘=180^∘ nbsp; nbsp; ⇒ 5x 20^∘=180^∘ ⇒ 5x=200^∘ ⇒ x=200^∘/5=40^∘ ∴ ...

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Standard IX

Mathematics

Important Results Related to Parallelograms

Two adjacent ...

Question

$Two adjacent angles of rhombus are 3 x - 40^{\circ} and 2 x + 20^{\circ} . Find the measurement of the greater angle.$

160^{\circ}

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100^{\circ}

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80^{\circ}

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120^{\circ}

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Solution

The correct option is B $100^{\circ}$
The sum of the adjacent angles of a rhombus is supplementary.

So,
$3 x - 40^{\circ} + 2 x + 20^{\circ} = 180^{\circ}$
$\Rightarrow 5 x - 20^{\circ} = 180^{\circ}$
$\Rightarrow 5 x = 200^{\circ}$
$\Rightarrow x = \frac{200^{\circ}}{5} = 40^{\circ}$

$∴ 3 x - 40^{\circ} = 3 (40^{\circ}) - 40^{\circ} = 80^{\circ}$

$2 x + 20^{\circ} = 2 (40^{\circ}) + 20^{\circ} = 100^{\circ}$

$The measurement of the greater angle is 100^{\circ} .$

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Two adjacent angles of rhombus are 3x−40∘ and 2x+20∘.Find the measurement of the greater angle.

The correct option is B 100∘The sum of the adjacent angles of a rhombus is supplementary. So, 3x−40∘+2x+20∘=180∘ ⇒5x−20∘=180∘ ⇒5x=200∘ ⇒x=200∘5=40∘ ∴3x−40∘=3(40∘)−40∘=80∘ 2x+20∘=2(40∘)+20∘=100∘ The measurement of the greater angle is 100∘.

$Two adjacent angles of rhombus are 3 x - 40^{\circ} and 2 x + 20^{\circ} . Find the measurement of the greater angle.$