Question

4. For cyclic quadrilateral ABCD, LA - LC = 20° Then find LA.​

Answer 1

Answer:

a = 110

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Answer 2

Answer:

In Cyclic Quadrilateral :

• Sum of opposite angles of cyclic quadrilateral is supplementary i.e 180

Here :

• <A - <C = 20
• <A + <C = 180

Solving These two equations

• < C = 180 - <A

Put value of < C in first equation

• <A - <C = 20
• <A - ( 180 - <A) = 20
• <A - 180 + <A = 20
• 2<A = 20 + 180
• 2<A = 200
• <A = 200/2
• <A = 100

Answer : Value of <A = 100°