Question

In a quadrilateral , the angles are x degrees , x + 10 degrees , x + 20 degrees , x + 30 degrees . find the angles

Answer 1

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Answer 2

Answer:Measure of sum of all angles of a quadrilateral is 360°

Therefore

x+(x+10)+(x+20)+(x+30)=360

x+x+10+x+20+x+30=360

x+x+x+x+20+10+30=360

4x+60=360

4x=360–60

4x=300

x=300/4

x=75

Putting x=75°

x+10=75+10=85°

x+20=75+20=95°

x+30=75+30=105°

Angles of a quadrilateral are 75°,85°,95°and 105°