Question

The angles of a quadrilateral are in the ratio 3:4:4:7: . One of the angle of the quad is

Answer 1

Answer:

consider the angles

3x,4x,4x, and 7x

sum of all angles of a quadrilatral is 360

degree

$\large{</strong><strong>3</strong><strong>x</strong><strong>+</strong><strong>4</strong><strong>x</strong><strong>+</strong><strong>4</strong><strong>x</strong><strong>+</strong><strong>7</strong><strong>x</strong><strong>=</strong><strong>3</strong><strong>6</strong><strong>0</strong><strong>}$

$\large{18x=360}$

$\large{x=20}$

The angles are

$\large{3x=3(20)=60degree}$

$\large{4x=4(20)=80degree}$

$\large{4x=4(20)=80degree}$

$\large{7x=7(20)=140degree}$

Answer 2

Answer:

Step-by-step explanation: let the numbers be 3x, 4x, 4x, 7x

We know that sum of all angles of quadriletral is 360

Hence,

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

18x=360

x=360÷18

x=20

Hence, value of x is 20

So that, 3x=3×20

=60

4x=4×20

=80

4x=80

7x=7×20

=140