Question

in quadrilaterals angles are in the ratio of 1:2:4:5 find all the angles​

Answer 1

Answer:

As we know that sum of all angles of quadrilateral is 360°.

x+2x+4x+5x=360°.

Now adding then...

12x=360°

x=30°

x=30°, 2x=60°, 4x=120°, 5x=150°

So all tha angel is 30°, 60°, 120°, 150°=ANS..

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Answer 2

Hey friend!

Here is your answer:

To find all the angles of a quadrilateral whose ratios are 1:2:4:5

Solution:

Let the angles be x, 2x, 4x, and 5x

Now,

$\star \ We \ know \ that \ the \ sum \ of \ angles\ of \ a quadrilateral \ = 360^0$

→ According to the question,

$x + 2x + 4x + 5x = 360^0$

$\implies 12x = 360^0\\\\\implies x = 30^0$

Hence,

x = 30°

2x = 60°

4x = 120°

5x = 150°

Answer : 30°, 60°,  120°, 150° are the angles of the quadrilateral.

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