Question

the angle of quadrilateral are x°,2x°,3x° and 4x° find the angle of quadrilateral

Answer 1

the angle sum of quadrilateral is 360 degree
x+2x+3x+4x = 360
10x=360
x= 360/10
x= 36
1 angle= 36
2 angle= 2*36=72
3 angle =3*36=108
4 angle= 4*36= 144

hope it helps !!

Answer 2

Answer:

The four angles of the quadrilateral are 36,72,108,144

Step-by-step explanation:

Given,

The angles of a quadrilateral  are x°,2x°,3x° and 4x°

Recall the concept

The sum of angles of a quadrilateral = 360°

Solution:

The angles of a quadrilateral  are x°,2x°,3x° and 4x°

Since the sum of four angles of a  quadrilateral  =  360°, we have

x° +2x° +3x°+ 4x° = 360

10x° = 360

x = $\frac{360}{10}$ = 36

x = 36

Hence angles are 36, 2×36, 3×36,4×36 = 36,72,108,144

∴ The four angles of the quadrilateral are 36,72,108,144

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