Math, asked by joyee4960, 10 months ago

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

Answers

Answered by Anonymous
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}

Answered by yprienceyadav
0

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

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