Find the angles of a trapezoid if the angle ratio is 2: 3: 4: 6.

According to the properties of a trapezoid, the sum of all its angles is 360 °. Let’s compose and solve the equation:

2x + 3x + 4x + 6x = 360;

15x = 360;

x = 360/15;

x = 24;

The angles of the trapezoid will be equal:

24 * 2 = 48 °;

24 * 3 = 72 °;

24 * 4 = 96 °;

24 * 6 = 144 °.



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