Question

the angle of quadrilateral are in the ratio 1:2:3:4 If the sum of the angels of a quadrilateral 360 degrees, find the measures of each angles ​

Answer 1

Answer:

36,72,108,144

Step-by-step explanation:

1x+2x+3x+4x = 360

10x =360

x = 36

Angles are 36,72,108,144

Answer 2

SOLUTION :-

Let,

$\sf \blue{1 = x}$

$\sf \blue{2 = 2x}$

$\sf \blue{3 = 3x}$

$\sf \blue{4 = 4x}$

We know that,

Sum the angles in a quadrilateral is 360°.

So,

$\sf x + 2x + 3x + 4x = 360 \degree$

$\sf 10x = 360 \degree$

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

$\sf \fbox{x = 36 \degree}$

Now,

$\sf \green{x = 36 \degree}$

$\sf \green{2x = 2 \times 36 = 72 \degree}$

$\sf \green{3x = 3 \times 36 = 108 \degree}$

$\sf \green{4x = 4 \times 36 = 144 \degree}$

VERIFICATION :-

$\sf x + 2x + 3x + 4x = 360 \degree$

$\sf 36 \degree + 72 \degree+ 108 \degree + 144 \degree = 360 \degree$

$\sf \fbox{360 \degree = 360 \degree}$

$\therefore$ LHS = RHS

Hence Verified.

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