Question

the three angles ofa quadrilateral are in the ratio of 2:3:4 respectively. The sum of 1st and the 3rd angle is equal to 180°. Find all the angles of quadrilateral​

Answer 1

Answer

Step-by-step explanation:

Answer

=Let the angle be 2x,3xand 4x

= the greatest angle+the least angle is=180°

= 4x+2x= 180°

= 6x=180°

=x=30

so the angle are 2 x 30= 60°

3 x 30= 90°

4 x 30= 120°

fourth angle be K

all the fourth angle sum of quadrilateral is 360°

= 60° +90° +120° +k=360°

k=90°

therefore the four angles are 90°,60°+120°,90°

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