Question

The angles of quadrilateral are in the ratio of 3:4:4:7 find all the angles of quardilaterals

Answer 1

3x+4x+4x+7x=360

18x=360

x=$\frac{360}{18}$

x=20

therefore, the angles are:-

60,80,80 and 140

Answer 2

Answer:

$\red {Required \:angles \:are }$

$\green { 60\degree, 80 \degree, 80 \degree \:and \: 140\degree}$

Step-by-step explanation:

$Let \: \angle A, \angle B , \angle C \: and \\\angle D \: are \: angles \: a \: quadrilateral \:ABCD$

$Ratio \: of \: angles = 3 : 4 : 4 : 7$

$Let \: \angle A = 3x, \\\angle B = 4x , \\\angle C = 4x , \\\angle D = 7x$

$\angle A + \angle B +\angle C+ \angle D = 360\degree$

$\blue { ( Angle \: sum \: property )}$

$\implies 3x + 4x + 4x + 7x = 360$

$\implies 18x = 360$

$\implies x = \frac{360}{18} = 20$

Therefore .,

$\angle A = 3x = 3\times 20 = 60, \\\angle B = 4x = 4 \times 20 = 80\degree , \\\angle C = 4x = 4\times 20 = 80\degree , \\\angle D = 7x = 7\times 20 = 140\degree$

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