Question

in which qudrant are in the ratio 3:5:9:13 find all the angle of quadrilateral​

Answer 1

Question:

In which quadrilateral there are ratio find all the angle of quadrilateral?

Solution:

Let angles of quadrilateral in the ratio 3:5:9:13 be a, b, c & d respectively.

Let a = 3x,

⠀⠀b = 5x

⠀⠀c = 9x,

⠀⠀d = 13x

• Here ‘x’ is an unknown number.

We know that the,

➠ Sum of the angles of a quadrilateral is 360°.

➠ a + b + c + d = 360°.

➠ 3x + 5x + 9x + 13x = 360°

➠ 30x = 360°

➠ x = ${ \cancel {\frac{360}{20}}}$

$\boxed{\mathfrak{\red{\underline{x=12°}}}}$

$\therefore$, angles are:-

➠ a = 3x = 3 × 12° = 36°

➠ b = 5x = 5 × 12° = 60°

➠ c = 9x = 9 × 12° = 108°

➠ d = 13x = 13 × 12° = 156°

Hence, all the angles of the quadrilateral are 36°, 60°, 108° & 156° respectively.

Answer 2

Answer:

Question:

In which quadrilateral there are ratio find all the angle of quadrilateral?

Solution:

Let angles of quadrilateral in the ratio 3:5:9:13 be a, b, c & d respectively.

Let a = 3x,

⠀⠀b = 5x

⠀⠀c = 9x,

⠀⠀d = 13x

Here ‘x’ is an unknown number.

We know that the,

➠ Sum of the angles of a quadrilateral is 360°.

➠ a + b + c + d = 360°.

➠ 3x + 5x + 9x + 13x = 360°

➠ 30x = 360°

➠ x =

${ \cancel {\frac{360}{20}}}$

20

360

$\boxed{\mathfrak{\red{\underline{x=12°}}}} </p><p>x=12°$

therefore∴ , angles are:-

➠ a = 3x = 3 × 12° = 36°

➠ b = 5x = 5 × 12° = 60°

➠ c = 9x = 9 × 12° = 108°

➠ d = 13x = 13 × 12° = 156°

Hence, all the angles of the quadrilateral are 36°, 60°, 108° & 156° respectively.