Question

The ratio of the measure of the consective angle of a quadrilateral is 1:2:3:4 what type of qudrilaterlis it

Answer 1

Let the angles of a quadrilateral be x, 2x, 3x and 4x

$x + 2x + 3x + 4x = 360\degree \: \: (by \: angle \: sum \: property \: of \: quadrilteral)\\ = > 10x = 360\degree \\ = > x = \frac{ 360\degree}{10 } \\ = > x = 36\degree$

Therefore, x = 36°

2x = 2 × 36° = 72°

3x = 3 × 36° = 108°

4x = 4 × 36° = 144°

Hence, it is a parallelogram.


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