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Question: If angles of a quadrilateral are in A.P. whose common Difference = 10<sup>0</sup> , then angle of qu...

If angles of a quadrilateral are in A.P. whose common Difference = 100 , then angle of quadrilateral are –

A

650, 850, 950, 1050

B

750, 850, 950, 1050

C

650, 750, 850, 950

D

650, 950, 1050, 1150

Answer

650, 850, 950, 1050

Explanation

Solution

a – 3d, a – d, a + d, a + 3d be angles of quad.

2d = 100 (given) d = 50

a – 150, a – 50, a + 50, a + 150 are angles

\ sum = 4a = 3600

a = 900 ̃ 90 – 15, 90 – 5, 90 + 5, 90 + 15

750, 850, 950, 1050