Question

If ABCD is a cyclic quadrilateral such that angle A = 85° and angle B = 105°, then diff erence between the measure

of Angle C and Angle D is​

Answer 1

Answer:

We know that sum of opposite angles of a cyclic quadrilateral is 180

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∴∠B+∠D=180

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⇒100+∠D=180

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⇒∠D=80

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∴∠ACP=∠PAC=80

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In ΔPAC,

∠P+∠PAC+∠PCA.=180

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⇒∠P+80

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+80

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=180

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⇒∠P=180

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−160

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=20

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