Question

Topic
Date.
013 The angle of a quadrilateral are in the ratio
of 1:2:3:4. What is measure of the four angle
​

Answer 1

Degree is not written.

Answer:

36, 72, 108 and 144.

Step-by-step explanation:

Let the required angles are a , 2a , 3a and 4a.

  We know, sum of all angles in any quadrilateral is 360.

Therefore,

⇒ a + 2a + 3a + 4a = 360

⇒ 3a + 7a = 360

⇒ 10a = 360

⇒ a = 360 / 10

⇒ a = 36

  Hence the angles are 36, 2( 36 ), 3( 36 ) and 4( 36 ).

Angles are 36, 72, 108 and 144.

Answer 2

Step-by-step explanation:

$\bf \huge \: QUESTION \:$

Topic

Date.

013 The angle of a quadrilateral are in the ratio

of 1:2:3:4. What is measure of the four angle

___________________________

$\bf \huge \: Solution\to \:$

$\bf \huge \: Given\to \:$

• The angle of a quadrilateral are in the ratio of 1:2:3:4.

____________________________

$\bf \huge \: To..Find\to \:$

• What is measure of the four angle

_____________________________

let the angles are quadrilaterals be x ,2x,3x,4x

$\tt\: We.have\to \:$

some of all angles are quadrilaterals= 360°

Putting all Value:-

$\tt\:</u></strong><strong><u>x</u></strong><strong><u>+</u></strong><strong><u>2</u></strong><strong><u>x</u></strong><strong><u>+</u></strong><strong><u>3</u></strong><strong><u>x</u></strong><strong><u>+</u></strong><strong><u>4</u></strong><strong><u>x</u></strong><strong><u>=</u></strong><strong><u>3</u></strong><strong><u>6</u></strong><strong><u>0</u></strong><strong><u>\:$

$\tt\: on..adition\to \:$

$\tt\:10x=360\:$

$\tt \: x = \frac{360}{10} \\ \\ \tt \red{ x = 36}$

Accourding to the question:-

What is measure of the four angle

we have:-

$\tt\:</u></strong><strong><u> </u></strong><strong><u>x</u></strong><strong><u> </u></strong><strong><u>=</u></strong><strong><u> </u></strong><strong><u>3</u></strong><strong><u>6</u></strong><strong><u>\:$

the angles are quadrilaterals be x ,2x,3x,4x

putting all values:-

$\tt\: </u></strong><strong><u>1</u></strong><strong><u>)</u></strong><strong><u> </u></strong><strong><u>x</u></strong><strong><u> = 36</u></strong><strong><u>°</u></strong><strong><u>\:$

$</u></strong><strong><u> </u></strong><strong><u>\tt\: </u></strong><strong><u>2</u></strong><strong><u>)</u></strong><strong><u> </u></strong><strong><u>2</u></strong><strong><u>x </u></strong><strong><u>=</u></strong><strong><u>\red{ x =</u></strong><strong><u>7</u></strong><strong><u>2</u></strong><strong><u>°</u></strong><strong><u>}</u></strong><strong><u>$

$\tt\: </u></strong><strong><u>3</u></strong><strong><u>) </u></strong><strong><u>3</u></strong><strong><u>x = </u></strong><strong><u>\red{ x = </u></strong><strong><u>1</u></strong><strong><u>0</u></strong><strong><u>8</u></strong><strong><u>°</u></strong><strong><u>}$

$\tt\: </u></strong><strong><u>4</u></strong><strong><u>) </u></strong><strong><u>4</u></strong><strong><u>x =</u></strong><strong><u> \red{ x = </u></strong><strong><u>1</u></strong><strong><u>4</u></strong><strong><u>4</u></strong><strong><u>°</u></strong><strong><u>}$

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