ABCD is a cyclic quadrilateral such that A = 90°, B = 70°, C = 95° and D = 105°.

Question

Philoid · Accepted Answer

FALSE

Given: ∠A = 90°, ∠B = 70°, ∠C = 95°, ∠D = 105°

Since sum of opposite angles of a cyclic quadrilateral is 180°;

∴ ∠A + ∠C = 90° + 95° = 185°, which can’t be true.

Also, ∠B + ∠D = 70° + 105° = 175°, which can’t be true.

Thus, there can’t exist such a cyclic quadrilateral.