Question

the four angels of a quadrilateral are in the ratio 3:4:6:7 find the angels​

Answer 1

Step-by-step explanation:

let the angles be 3x, 4x, 6x,7x.

we know that sum of angles of quadrilateral is 360 degrees..

ATQ

3x+4x+6x+7x = 360

20x =360

x=360/20

x = 18

angles are = 3×18=54, 4×18=72, 6×18=108, 7×18=126...

Hope it helps...

Answer 2

Given:

• Ratio = 3:4:6:7
• Angles of Quadrilateral = 360°

To Find

• All angles Measurements?

Solution:

We Know that,

Sum of all the angles of the Quadrilateral is 360°.

$\\ \circ \: {\boxed{\tt\large\purple{ Total \ Sum \ of \ Angles_{(Quadrilateral)} = 360° }}}$

Let the angle be x

According to Question,

As we know sum of Quadrilaterals,

$\colon\implies{\tt{ 3x + 4x+6x+7x = 360° }} \\ \\ \\ \colon\implies{\tt{ 20x = 360° }} \\ \\ \\ \colon\implies{\tt{ x = \dfrac{ \cancel{360} }{ \cancel{20} } }} \\ \\ \\ \colon\implies{\boxed{\tt\red{ x = 18° }}}$

______________________

After Putting values,

$\colon{\boxed{\tt\green{ 3x = 3 \times 18 = 54° }}}$

$\colon{\boxed{\tt\blue{ 4x = 4 \times 18 = 72° }}}$

$\colon{\boxed{\tt\purple{ 6x = 6 \times 18 = 108° }}}$

$\colon{\boxed{\tt\pink{ 7x = 7 \times 18 = 126° }}}$

Hence,

• Angles of the Quadrilateral is 54° , 72° , 108° , and 126° .