Question

the measure of the angles of a quadrilateral are in the ratio of 2:4:6:8.find the measure of each of its angles.​

Answer 1

let, the angles be 2x , 4x , 6x and 8x

we know that the sum of angles of a quadrilateral are 360°

2x + 4x + 6x + 8x = 360°

20x = 360°

x = 360°/20

x = 18°

2x = 2 × 18° = 36°

4x = 4 × 18° = 72°

6x = 6 × 18° = 108°

8x = 8 × 18° = 144°

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Answer 2

Answer:

Given, the four angles of a quadrilateral are in the ratio 2:4:6:8

Let's the angles be 2x,4x,6x,8x

therefore= 2x+4x+6x+8x= 360

20x=360

$x = \frac{360}{20}$

DO THE CALCULATION

$x = 18$

2x+4x+6x+8x

2×18+4×18+6×18+8×18=360

36+72+108+144=360

SO, THEREFORE ANGLES ARE 36,72,108 AND 144

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