Math, asked by agarwalanant1697, 6 months ago

If the angels of a quadrilateral are in the ratio 5:8:11:12, find all the angels.

Answers

Answered by faiyazahamad1
1
Ratio of angle of quadrilateral = 5: 8: 11:12
Let angle be 5x, 8x, 11x, 12x

So, by angle sum property

5x + 8x + 11x + 12x = 360
Or 36x = 360
Or x = 360 / 36
X = 10
Fisrt angle = 5* 10= 50
Second angle= 8*10 = 80
Third angle = 11*10 = 110
Fourt angle = 12*10 =120

Angle be 50, 80, 110, 120
Answered by Anonymous
7

Answer :-

  • Angles are 50°, 80°, 110° and 120°.

Given :-

  • The angles of a quadrilateral are in the ratio 5 : 8 : 11 : 12.

To Find :-

  • Those angles.

Solution :-

Put x in the ratio

Now angles are

  • 5x
  • 8x
  • 11x
  • 12x

As we know that

  • Sum of all angles of a quadrilateral is 360°.

According to question :-

⇒ 5x + 8x + 11x + 12x = 360°

⇒ 13x + 11x + 12x = 360°

⇒ 13x + 23x = 360°

⇒ 36x = 360°

⇒ x = 360/36

⇒ x = 10

Put the value of x in the ratio

  • 5x = 5 × 10 = 50°
  • 8x = 8 × 10 = 80°
  • 11x = 11 × 10 = 110°
  • 12x = 12 × 10 = 120°

Verification :-

⇒ 5x + 8x + 11x + 12x = 360°

⇒ 50° + 80° + 110° + 120° = 360°

⇒ 130° + 230° = 360°

⇒ 360° = 360°

Hence, verified !

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