Two adjacent angles of rhombus are -3x-40- and 2x-20- Find the -measurement of the greater angle- nbsp-160-100-80-120-

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Rhombus

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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Q. Find the mean, using assumed-mean method:

Class	0-40	40-80	80-120	120-160	160-200
Frequency	12	20	35	30	23

Find the mean of the following data, using assumed-mean method:
$\begin{matrix} Class & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 & 100 - 120 Frequency & 20 & 35 & 52 & 44 & 38 & 31 \end{matrix}$

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

Calculate the arithmetic mean of the following frequency distribution:

Class Interval:	$0 - 40$	$40 - 80$	$80 - 120$	$120 - 160$	$160 - 200$
Frequency:	$12$	$20$	$25$	$30$	$23$

Balls Runs 0-20 12 20-40 13 40-60 19 60-80 16 80-100 14 100-120 15 120-140 16 140-160 14 160-180 17 180-200 11 200-220 15 220-240 15 240-260 25 260-280 29 280-300 54 TOTAL 285

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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∘.

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