1.

The angles of a quadrilateral are in A.P with d=10 find the angles ​

Answer»

ANSWER:

60° , 80° , 100° and 120°

Step-by-step explanation:

a-3D + a-d + a+d + a+3d = 360

a - 30 + a - 10 + a + 10 + a + 30 = 360

4a = 360

a = 90°

∴ a - 3d = 90 - 30 = 60°

   a - d = 90 - 10 = 80°

   a + d = 90 + 10 = 100°

   a + 3d = 90 + 30 = 120°

Angles are 60° , 80° , 100° and 120°



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