Three angles are 3:4:5 and the difference between least and the greate

1.	Three angles are 3:4:5 and the difference between least and the greatest angle is 45 find the four angles of quadrilateral
Answer» The ratio of the three angles of quadrilateral=3:4:5=3:4:5 Let the angles be3x,4x3x,4xand5x5x The greatest angle among these is5x5xand the least is3x3x According to the given condition , 5x−3x=455x−3x=45 2x=452x=45 x=452x=452 x=22.5x=22.5 Hence the three angles are 3×22.5=67.5∘3×22.5=67.5∘ 4×22.5=90∘4×22.5=90∘ 5×22.5=112.5∘ Answer :67.5,90,112.5

Three angles are 3:4:5 and the difference between least and the greatest angle is 45 find the four angles of quadrilateral

Answer»

The ratio of the three angles of quadrilateral=3:4:5=3:4:5

Let the angles be3x,4x3x,4xand5x5x

The greatest angle among these is5x5xand the least is3x3x

According to the given condition ,

5x−3x=455x−3x=45

2x=452x=45

x=452x=452

x=22.5x=22.5

Hence the three angles are

3×22.5=67.5∘3×22.5=67.5∘

4×22.5=90∘4×22.5=90∘

5×22.5=112.5∘

Answer :67.5,90,112.5