Question

in a quadrilateral,the angles are in the ratio 2:3:4:6 find the measure of each of 4 angles
Please answer with sentence formation with process
No direct answers
I will mark them BRAINLEST who will answer correct​

Answer 1

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GiveN :

• Four Angles are in ratio of 2:3:4:6

To FinD :

• Measure of all the angles

SolutioN :

Let the angles be 2x, 3x, 4x, 6x

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

⇒2x + 3x + 4x + 6x = 360°

⇒5x + 10x = 360°

⇒15x = 360°

⇒x = 360°/15

⇒x = 24°

So, measures of all angles is

• 2x = 2(24) = 48°
• 3x = 3(24) = 72°
• 4x = 4(24) = 96°
• 6x = 6(24) = 144°

$\rule{150}{0.5}$

Verification :

If sum of all the angles will come 360° it means our answer is correct.

⇒48° + 72° + 96° + 144°

⇒120° + 240°

⇒360° = 360°

∴ The angles are 48°, 72°,96° and 144°

Answer 2

Answer:

Step-by-step explanation:

Given :-

Ratio of angles = 2 : 3 : 4 : 6

To Find :-

Measure of angles.

Formula to be used :-

Angle sum property of Quadrilateral.

Solution :-

Let the angles be 2x, 3x, 4x, and 6x.

⇒ 2x + 3x + 4x + 6x = 360°

⇒ 15x = 360°

⇒ x = 360/15

⇒ x = 24°

1st Angle = 2x = 2(24) = 48°

2nd  Angle = 3x = 3(24) = 72°

3rd  Angle = 4x = 4(24) = 96°

4th  Angle = 6x = 6(24) = 144°