Question

the angle of a quadrilateral are in ration 3:4:5:6 find measure of each angles? ​

Answer 1

Step-by-step explanation:

In a quadilateral the angles add up to

360

Let's call the angles

3x,4x,5xand6x

Then:3x+4x+5x+6x=360

→18x=360

→x=20

Then the angles are

60

,

80

o

,

100

o

and

120

o

(because

3

⋅

20

=

60

etc)

Check:

60

+

80

+

100

+

120

=

360

Answer 2

Answer:

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Let all angles be 3x,4x,5x and 6x respectively.

Now,

As we sum of all angles of a quadrilateral is 360⁰.

Therefore,

=>3x+4x+5x+6x=360⁰

=>18x=360

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

=>x=20

So measure of each angle:

• 3x=3×20=60⁰
• 4x=4×20=80⁰
• 5x=5×20⁰=100⁰
• 6x=6×20⁰=120⁰

$\mathcal{</strong><strong>BE</strong><strong> \: </strong><strong>HAPP</strong><strong>Y</strong><strong>}$