Question

find the value of x, y and z in the following figure
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Answer 1

Step-by-step explanation:

y = 25

x= 155

z= 155

ans of that fig

Answer 2

Let two lines be AB and CD.

Let the point of intersection be O.

∠AOC = x+y

∠COB = 30⁰

∠BOD = z

∠DOA = y

∠AOC + ∠COB = 180⁰ ( Angles in linear pair )

x + y + 30⁰ = 180⁰

x + y = 180 - 30

x + y = 150⁰

∠AOC + ∠DOA = 180⁰ ( Angles in linear pair )

x + y + y = 180⁰

150⁰ + y = 180⁰

y = 180 - 150

y = 30⁰

∠ BOD + ∠DOA = 180 ( Angles in linear pair )

z + 30⁰ = 180⁰

z = 180 - 30

z = 150⁰

x + y = 150⁰

x + 30⁰ = 150⁰

x = 150-30

x = 120⁰

Therefore,

x = 120⁰

y = 30⁰

z = 150⁰

Hope it helps !!