Question

Four Angles of an irregular quadrilatral are in the ratio 1:2:4:5.Find the measure of each angle. (Hint the sum of the angle of a quadrilateral is 360 degree)
best one will be marked as brainleast

Answer 1

Let the angles be 1x, 2x, 4x and 5x
Now, x+2x+4x+5x= 360 (angle sum property)
12x = 360
X=360/12
X= 30
The angles are 30, 60, 120 and 150 degrees

Answer 2

From the question
Angle a:1 part of 360
Angle b= 2 parts of 360
Angle c=4 parts of 360
Angle d=5 parts of 360
So total parts=1+2+4+5
=12 parts
So 1 part=360/12
=30
Angle a=1 part=30
Angle b=2 parts=2x30=60
Angle c=4 parts=4x30=120
Angle d=5parts=5x30=150