Question

4 The angles of a quadrilaterad are in the ratio 3:45:6. Find the angles quadrilateral.
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Answer 1

Question:-

The angles of a quadrilaterad are in the ratio 3:4:5:6. Find the angles quadrilateral.

Answer:-

• The angles of quadrilateral are 60°,80°,100° and 120°.

To find:-

• All angles of quadrilateral

Solution:-

• Ratio = 3:4:5:6

Put x in the ratio,

• 3x
• 4x
• 5x
• 6x

As we know,

• Sum of all angles = 360°

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: 3x + 4x + 5x + 6x = 360 \degree}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: 18x = 360 \degree}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: x = \frac{360}{18} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: x = 20 \degree}$

• The value of x is 20°

Put value of x in the ratio,

• 3x = 3×20 = 60°
• 4x = 4×20 = 80°
• 5x = 5×20 = 100°
• 6x = 6×20 = 120°

The angles of quadrilateral are 60°,80°,100° and 120°.

Answer 2

Step-by-step explanation:

In a quadilateral the angles add up to 360o

In a quadilateral the angles add up to 360oLet's call the angles 3x,4x,5xand6x

In a quadilateral the angles add up to 360oLet's call the angles 3x,4x,5xand6xThen:

In a quadilateral the angles add up to 360oLet's call the angles 3x,4x,5xand6xThen:3x+4x+5x+6x=360→

In a quadilateral the angles add up to 360oLet's call the angles 3x,4x,5xand6xThen:3x+4x+5x+6x=360→18x=360→x=20

In a quadilateral the angles add up to 360oLet's call the angles 3x,4x,5xand6xThen:3x+4x+5x+6x=360→18x=360→x=20Then the angles are 60o,80o,100oand120o

In a quadilateral the angles add up to 360oLet's call the angles 3x,4x,5xand6xThen:3x+4x+5x+6x=360→18x=360→x=20Then the angles are 60o,80o,100oand120o(because 3⋅20=60 etc)

In a quadilateral the angles add up to 360oLet's call the angles 3x,4x,5xand6xThen:3x+4x+5x+6x=360→18x=360→x=20Then the angles are 60o,80o,100oand120o(because 3⋅20=60 etc)Check: 60+80+100+120=360

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