Question

The angles of a quadrilateral are in the ratio of 2:3:6:7 find the measures of each angles

Answer 1

$2x + 3x + 6x + 7x = 360 \\ 18x = 360 \\ x = \frac{360}{18} \\ x = 20$

$2x = 40 \\ 3x = 60 \\ 6x = 120 \\ 7x = 140$

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Answer 2

Sum of all angles of a quadrilateral is 360.

Let the multiple common in all angles be x. Then,

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

18x = 360.

x = 360/18 = 20.

Measure of angles is (2×20), (3×20), (6×20), (7×20)

40, 60, 120, 140