Question

the
angle of quadrilaterial
are in the ratio
of 1: 2: 3:4 find all the angles of the
quadrilaterials​

Answer 1

⇒ Let the measure of angles be x,2x,3x and 4x.

We know that sum of measure of all four angles is 360

o

.

∴ x+2x+3x+4x=360

o

⇒ 10x=360

o

⇒ x=36

o

⇒ 2x=2×36

o

=72

o

⇒ 3x=3×36

o

=108

o

⇒ 4x=4×36

o

=144

o

⇒ The measures of angles of quadrilateral are 36

o

,72

o

,108

o

and 144

o

.

⇒ We can see measure of all 4 angles are different so, the given quadrilateral is trapezium.

Answer 2

Step-by-step explanation:

Let x be the angle of quadrilateral and

Sum of angles of quadrilateral =360°

X+2x+3x+4x=360°

10x=360°

X=36°

Then angles are 36°,72°,108°,144°