Q.12 There four angles of a quadrilateral are in the ratio of2:3:4:6.

1.	Q.12 There four angles of a quadrilateral are in the ratio of2:3:4:6. Find there measures.
Answer» We KNOW that the SUM of all the angles of a quadrilateral is equal to 360° . According to the QUESTION, LET the angle be x, so that 2x + 3x + 4x + 6x = 360° or, 15x = 360° or, x = 360°/15 [transposition method] or, x = 24° Now, the value of x is 24°. By multiplying the value of x with the different ratios, we get 2x = 2(24°) = 48° 3x = 3(24°) = 72° 4x = 4(24°) = 96° 6x = 6(24°) = 144° Answer: The measurement of the four angles of the quadrilateral are 48°, 72°, 96° and 144° respectively.

Q.12 There four angles of a quadrilateral are in the ratio of2:3:4:6. Find there measures.

Answer»

We KNOW that the SUM of all the angles of a quadrilateral is equal to 360° .

According to the QUESTION,

LET the angle be x, so that

2x + 3x + 4x + 6x = 360°

or, 15x = 360°

or, x = 360°/15 [transposition method]

or, x = 24°

Now, the value of x is 24°.

By multiplying the value of x with the different ratios, we get

2x = 2(24°) = 48°

3x = 3(24°) = 72°

4x = 4(24°) = 96°

6x = 6(24°) = 144°

The measurement of the four angles of the quadrilateral are 48°, 72°, 96° and 144° respectively.