Question

21. Four angles of an irregular quadrilateral are in the ratio 1: 2:4:5. Find the measure of each angle.
(Hint: the sum of the angles of a quadrilateral is 360°.)
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Answer 1

Answer:

Let the angles be x,2x,4x,5x

According to question

x+2x+4x+5x=360(Sum of angles of a quadrilateral=360)

12x=360

x=360/12

x=30

1st angle=x

=30

2nd angle=2x

=2(30)

=60

3rd angle=4x

=4(30)

=120

4th angle=5x

=5(30)

=150