Question

The angles of quadrilateral are in the ratio 1:3:4:4 find the measures of each angle​

Answer 1

Step-by-step explanation:

let the angles of quadrilateral be x,3x,4x,4x

sum of all angles of quadrilateral is 360°

or, x+3x+4x+4x=360°

or, 12x=360°

or, x=360/12

or, x=30°

answer the four angles are

x=30°

3x=3×30°=90°

4x=4×30°=120°

4x=4×30°=120°

hope it's helpful dear MaTe

Answer 2

Step-by-step explanation:

in a quadrilateral sum of angles = 360°.

and given that the angles are in the ratio of 1:3:4:4.

the sum of 1+3+4+4=12.

∠ = (360°/12)×respective ratio of each angle.

so,∠a = (360/12)×1

=》30×1

=》30°.

∠b = (360/12)×3

=》30×3

=》90°.

∠c = (360/12)×4.

=》30×4

=》120°.

∠d = (360/12)×4.

=》30×4

=》120°.