Question

In the given figure AE is a stright line .if the ratio of angles 1-2-3-4in the given figure is 1:2:3:4,then find the angles












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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.

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Answer 2

Answer:

Angle A=18

Angle B=36

Angle C=54

Angle D=72