Question

The angles of a quadrilateral are in the ratio 1:2:4:5.
Find the angles.
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Answer 1

Answer:

30°,60°,120° and 150°.

Step-by-step explanation:

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

the sum of the angles of a quadrilateral is 360°

x+2x+4x+5x=360°

12x=360°

x=360/12

x= 30°

therefore the angles are

x=30°

2x=2×30=60°

4x=4×30=120°

5x=5×30=150°

Answer 2

Step-by-step explanation:

ratio of angles of a quadrilateral = 1:2:3:4

let the angles be 1x,2x,3x,4x.

we know that,

1x+2x+3x+4x = 360°

10x = 360

first angle (x) = 36°

second angle(2x) = 72°

third angle(3x) = 108°

fourth angle(4x) = 144°