Question

the angles of a quadrilateral are in ratio of 2:4:5:1.find the measure of each angle.​

Answer 1

Let the all ratios be 2x,4x,5x and x.
Then,
We know that the measure of all the angles of quadrilateral is 360°.
Then,
2x+4x+5x+x=360°
12x=360°
x=360°/12=30°
Now we put the value of x in the ratios
2x=2×30=60°
4x=4×30°=120°
5x=5×30°=150°
x=30°

Answer 2

Answer:

60°,120°,150°,30°

Step-by-step explanation:

Angle sum property of a quadrilateral = 360°

Ratio of angles = 2:4:5:1

Let the angles be 2x, 4x, 5x, 1x

2x + 4x + 5x + 1x = 360°

12x = 360°

$x = \frac{360}{12} \\ x = 30$

Angles are:

1st is 2x = 2*30= 60°

2nd is 4x = 4*30 = 120°

3rd is 5x = 5*30 = 150°

4th is 1x = 1*30 = 30°