Question

if abcd is a cyclic quadrilateral what is the sum of angle a and angle c​

Answer 1

Answer:

it will be 180 because the sum of opposite angles of a cyclic quadrilateral is 180 °

Answer 2

Answer:

Given that : ABCD is a cyclic quadrilateral.

According to Cyclic Quadrilateral property, 'Sum of the opposite angles of a cyclic quadrilateral is 180

∘

'.

That is, ∠A+∠C=180

∘

∴ ∠A=180

∘

−∠C ....(i)

According to question we need to find the value of (tanA+tanC)

tanA+tanC

=tan(180−C)+tanC ...From eq.(i)

[Since we know that, tan(180

∘

−θ)=−tanθ

So, tan(180−C)=−tanC]

∴ tan(180−C)+tanC

=−tanC+tanC

=0

Step-by-step explanation:

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