Question

From the given figure, if x : y = 3 : 7 then the value of a
please answer step by step and correct please ​

Answer 1

In the given figure x:y = 3:7

Let the common multiple be x

x = 3x

y = 7x

ATP

3x + 7x = 180⁰ [linear pair]

10x = 180

=> x = 180/10

=> x = 18⁰

Therefore,

x = 3x = 3×18 = 54⁰

y = 7x = 7×18 = 126⁰

Now

angle a = angle y [ Vertically opposite angles ]

Therefore,

Value of a = 126⁰

and Value of b = Value of x [Vertically opposite angles]

Value of b = 54⁰

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