Question

The angle of quadrilateral are in the ratio 1 ratio 2 ratio 3 ratio 4 what is the measure of your angle of spectraly.

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Answer 1

Answer:

36, 72, 108, 144

Step-by-step explanation:

Let the angles be x, 2x, 3x, 4x

So,

x+ 2x+ 3x+ 4x = 360 degree

10x = 360degree

x = 360 degree /10

Therefore x = 36 degree

So angle 1 = 36 degree

Angle 2 = 72 degree

Angle 3 = 108 degree

Angle 4 = 144 degred

Answer 2

FIRSTLY-:

$\sf: Let \sf: the \: measure \: of \sf: angles \bf: be x,2x,3x and  \: 4x.</p><p></p><p>$

$\bf: We \sf: know \: that \: sum \: of \: measure \: of \: all \: four \: angles \: is  \: 360.$

$∴ \bf:  x+2x+3x+4x=360o$

$⇒  \bf: 10x=360o$

$⇒  \bf: x=360</h3><p>⇒  \bf:  2x=2×36o=72o</p><p></p><p>⇒   \sf: 3x=3×36o=108o </p><p>⇒   \sf:4x=4×36o=144o</p><p></p><p>$

$⇒\sf: The \: measures \: of \: angles \: of \: quadrilateral \sf: are  \bf: 36o, \: 72o, \: 108o \:  and \:  144o.\sf: </h3><p></p><h3>⇒ We \: can \: see \: measure \: of \: all  \: 4 angles \: are \: different \: so \: , the \: given \: quadrilateral \: is \: trapezium.</h3><p></p><h3>$ㅤㅤ

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