Question

The angles of a quadrilateral are in the ratio 2:4:5:9. Find the measure of greatest angle?

Answer 1

Answer:

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Greatest Angle => 162°

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Step-by-step explanation:

=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=

See The Attachment My Friend....

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Answer 2

Answer:

Step-by-step explanation:

Ratio of the angles= 2:4:5:9

Sum of all angles of a quadrilateral= 360 degree

Let the common multiplier be x

The angles are 2x, 4x, 5x, 9x

So, 2x+4x+5x+9x = 360

or, 20x = 360

or, x= 18

the angles are 36, 72, 90, 162

the largest is 162.

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