1.

The four angles of a quadrilateral are in the ratio of 1 : 2 : 3 : 4. Find the measure of each angle of the quadrilateral.

Answer»

Given that, the ratio of angles of a quadrilateral 

= 1 : 2 : 3 : 4 

Sum of the terms of the ratio 

= 1 +2 + 3 + 4= 10 

Sum of the four interior angles of a quadrilateral = 360° 

∴ The measure of first angle

= 1/10 x 360° = 36°

The measure of second angle

= 2/10 × 360° = 72°

The measure of third angle

= 3/10 × 360° = 108°

The measure of fourth angle

= 4/10 × 360° = 144°



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