The three angles of a quadrilateral are in the ratio 2:5:7. The sum of the greatest and the smallest among these angles is 180°. What is the measure of the fourth angle?
Answers
Answered by
11
Let us take the angles as 2x, 5x and 7x
Greatest angle will be 7x and smallest will be 2x
Therefore, 2x+7x = 180°
9x = 180°
x = 20°
The angles are 2x = 40°, 5x = 100° and 7x = 140°
4th angle will be : 360° - (40° + 100° + 140°)
Answer is that the fourth angle will be equal to 80°
Greatest angle will be 7x and smallest will be 2x
Therefore, 2x+7x = 180°
9x = 180°
x = 20°
The angles are 2x = 40°, 5x = 100° and 7x = 140°
4th angle will be : 360° - (40° + 100° + 140°)
Answer is that the fourth angle will be equal to 80°
Similar questions