Question

the four angles of a quadrilateral are in the ratio of 2 3 6 7 find the measure of angles ​

Answer 1

Answer:

Angle sum of a quadrilateral = 360°

Ratio = 2:3:6:7

Let the angles be 2x, 3x, 6x, and 7x

$2x + 3x + 6x + 7x = 360$

$18x = 360$

$x = 360/18$

$x = 20$

Then, Angles = 20 x 2 = 40°

20 x 3 = 60°

20 x 6 = 120°

20 x 7 = 140°

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let the four angles of the quadrilateral be 2x , 3x , 6x and 7x.

Sum of all angles of a quadrilateral = 360°

∴ 2x + 3x + 6x + 7x = 360°

18x = 360°

x = 360/18 = 20

∴ x = 20

Hence the four angles are:

2 × 20 = 40°

3 × 20 = 60°

6 × 20 = 120°

7 × 20 = 140°

Therefore all four angles are 40° , 60° , 120° and 140°.

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