Question

tha measure of tha angle of quadrilateral are in tha ratio 3:4:5:6find tha measure of each angle

​

Answer 1

Step-by-step explanation:

In a quadilateral the angles add up to

360

o

Let's call the angles

3

x

,

4

x

,

5

x

and

6

x

Then:

3

x

+

4

x

+

5

x

+

6

x

=

360

→

18

x

=

360

→

x

=

20

Then the angles are

60

o

,

80

o

,

100

o

and

120

o

(because

3

⋅

20

=

60

etc)

Check:

60

+

80

+

100

+

120

=

360

Answer 2

Correct Question-:

• The measure of tha angle of quadrilateral are in tha ratio 3:4:5:6 . Find the measure of each angle ?

AnswEr-:

• $\underline{\boxed{\star{\sf{\blue{ The\:\:measure \:of \:angles\:of \:Quadrilateral\:are\:60⁰,80⁰,100⁰\:and\: 120⁰}}}}}$

Explanation -:

Given -:

• The measure of tha angle of quadrilateral are in tha ratio 3:4:5:6 .

To Find -:

• Find the measure of each angle .

Solution-:

• Let the angles of Quadrilateral be 3x , 4x ,5x and 6x .

• $\underline{\boxed{\star{\sf{\blue{ The\:\:sum\:of \:angles\:of \:Quadrilateral\:is\:360⁰}}}}}$
• $\underline{\boxed{\star{\sf{\blue{ Angle_{1}\:\:+\: \:Angle_{2}\:+ \:Angle _{3}\:+\:Angle_{4} \:=\:360⁰}}}}}$

Here ,

• Angle ¹ = 3x
• Angle ² = 4x
• Angle ³ = 5x
• Angle ⁴ = 6x

Now ,

• $\implies{\sf{\large { 3x + 4x + 5x + 6x = 360⁰}}}$
• $\implies{\sf{\large { 18x = 360⁰}}}$
• $\implies{\sf{\large { x = \frac{360}{18}}}}$
• $\implies{\sf{\large { x= 20⁰}}}$

Therefore,

• $\underline{\boxed{\star{\sf{\blue{ x = 20⁰}}}}}$

Now ,

• Angle ¹ = 3x = 3 × 20 ⁰ = 60⁰
• Angle ² = 4x = 4 × 20⁰ = 80⁰
• Angle ³ = 5x = 5 × 20 = 100⁰
• Angle ⁴ = 6x = 6 × 20 = 120⁰

Hence ,

• $\underline{\boxed{\star{\sf{\blue{ The\:\:measure \:of \:angles\:of \:Quadrilateral\:are\:60⁰,80⁰,100⁰\:and\: 120⁰}}}}}$

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