Question

Answer this question Angles of a quadrilateral are in the ratio 1: 2: 3: 4. Find all angles. What special name can you give to this quadrilateral and why?​

Answer 1

Answer:

Let the measure of angles be x,2x,3x and 4x.

We know that sum of measure of all four angles is 360

o

.

∴ x+2x+3x+4x=360

o

⇒ 10x=360

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⇒ x=36

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⇒ 2x=2×36

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=72

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⇒ 3x=3×36

o

=108

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⇒ 4x=4×36

o

=144

o

⇒ The measures of angles of quadrilateral are 36

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,72

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,108

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and 144

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.

⇒ We can see measure of all 4 angles are different so, the given quadrilateral is trapezium.

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Answer 2

Step-by-step explanation:

let the angel 1 be x

$1x + 2x + 3x + 4x = 360 \: degree \:$

$10x = 360 \: degree$

$x = \frac{360}{10}$

$= 36 \: degree$

so angle 1 = 1x = 36

angle 2 = 2x = 36*2=72

angle 3 = 3x = 36*3=108

angle 4 = 4x = 36*4=144

name of Quadilateral abcd