angle of quadrilateral are 40°,60°,120° and 140°. If the sum of the interior angles of a quadrilateral is 360°, find the ratio of these angles according to the order given.
40 : 60 : 120 : 140
= 4 : 6 : 12 : 14
= 2 : 3 : 6 : 7
maht
50°degrees
To find the ratio of the angles of a quadrilateral, we need to calculate the measure of each angle. In this case, we are given that the sum of the interior angles of a quadrilateral is 360°. So, let's calculate the missing angle of the quadrilateral.
Sum of angles = 360°
40° + 60° + 120° + 140° + Missing Angle = 360°
To find the Missing Angle, we can rearrange the equation:
Missing Angle = 360° - (40° + 60° + 120° + 140°)
Missing Angle = 360° - 360°
Missing Angle = 0°
Now, we have all the angle measures of the quadrilateral:
40°, 60°, 120°, 140°, 0°
To find the ratio, we divide each angle by the smallest angle, which is 40°:
40° / 40° = 1
60° / 40° = 1.5
120° / 40° = 3
140° / 40° = 3.5
0° / 40° = 0
Therefore, the ratio of the angles, according to the given order, is 1:1.5:3:3.5:0.