Question

the angels of a quadrilateral are in the ratio of 2:3:4:6. measure of each of the four angles​

Answer 1

Answer:

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

Sum of all angles of a quadrilateral = 360°

So, 2x + 3x + 4x + 6x = 360°

15x = 360°

Here, x = 24°

Now, 2x = 2*24 = 48°

3x = 3*24 = 72°

4x = 4*24 = 96°

And 6x = 6*24 = 144°

Answer 2

Answer:

• Angles of quadrilateral are 48°, 72°, 96° and 144°.

Explanation:

Given:

• Angles of quadrilateral are in the ratio of 2:3:4:6.

To Find:

• Find all side of quadrilateral.

Let angles of quadrilateral be 2x, 3x, 4x and 6x.

We know that, sum of all angles of quadrilateral is 360°.

⇒ 2x + 3x + 4x + 6x = 360°

⇒ 15x = 360°

⇒ x = 360°/15

⇒ x = 24°

So, angles of quadrilateral are:

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

Verification:

We know that all angles of quadrilateral is 360°. So,

⇒ 48° + 72° + 96° + 144° = 360°

⇒ 360° = 360°

Hence Proved!!

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