Question

ek Chaturbhuj ABCD Ek vritt ke antargat is Prakar Hai Ki AB vrit ka Vyas hai aur angle ADC =130 degree hai angle BAC ka man gyat karo​

Answer 1

Answer:

Solution :

Given, ABCD is a cyclic quadriilateral and ∠ADC=140∘.

We know that, sum of the opposite angles in a cyclic quadrilateral is 180∘.

∠ADC+∠ABC=180∘

⇒140∘+∠ABC=180∘

⇒∠ABC=180∘−140∘

∴∠ABC=40∘

Since, ∠ACB is an angle in a semi-circle.

∴∠ACB=90∘

In ΔABC,∠BAC+∠ACB+∠ABC=180∘

[by angle sum property of a triangle]

⇒∠BAC=90∘+40∘=180∘

⇒∠BAC=180∘−130∘=50∘