Question

Q1 THE FOUR ANGLES OF QUADRILATERAL ARE 1:32:4. FIND THE ANGLES ​

Answer 1

Answer:

⇒  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.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

1:3:2:4=360

1x+3x+2x+4x=360

10x=360

x=36

so the angles are 36,108,72,144