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The measures of angles of quadrilateral are m the ratijo 2 3 6 7 Find the measure of cach of the angles of the quadrilateral .please answer fast​

Answer»

Answer:

In a quadrilateral, the MEASURES of the ANGLES are in the ratio of 2:3:4:6. How do you find the MEASURE of the largest angle?

Add 2+3+4+6 = 15.

The sum of the angles of a quadrilateral = 360 = 2x+3x+4x+6x

where 15x = 360, or

x = 360/15 = 24.

Hence the four angles of the quadrilateral are

2x = 2x24 = 48 degrees

3x = 3x24 = 72 degrees

4x = 4x24 = 96 degrees

5x = 6x24 = 144 degrees

The largest angle is therefore 144 degrees.



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