Question

Q.12 There four angles of a quadrilateral are in the ratio of
2:3:4:6. Find there measures.​

Answer 1

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.

Answer 2

Answer:

2x+3x+4x+6x=180°

Step-by-step explanation:

15x=18°

x=180°/15= 12