Question

In the adjoining figure, AE ||BC. With the help of the given information find the value of x and y.

Answer 1

Given :-

• In the adjoining figure, AE ||BC.

To Find :-

• find the value of x and y. ?

Solution :-

in ∆ABC ,

→ ∠A + ∠B + ∠C = 180° (Angle sum Property).

Putting all given values from diagram we get,

→ (2x + y) + (y - 11°) + (x + 11°) = 180°

→ 2x + y + y + x = 180°

→ 3x + 2y = 180° ------------- Eqn.(1)

Now, we have given that, AE || BC.

So,

→ ∠DAE = ∠ABC { Corresponding angles. }

Putting values again we get,

→ x + 19° = y - 11°

→ y - x = 19° + 11°

→ y - x = 30°

Multiply both sides by 2,

→ 2y - 2x = 60° ------------------ Eqn.(2)

Now, Subtracting Eqn.(2) from Eqn.(1) , we get,

→ (3x + 2y) - (2y - 2x) = 180° - 60°

→ 3x + 2x + 2y - 2y = 120°

→ 5x = 120°

Dividing both sides by 5,

→ x = 24° .(Ans.)

Putting value of x now,

→ y - x = 30°

→ y - 24° = 30°

→ y = 30° + 24°

→ y = 54°. (Ans.)

Hence, Value of x is 24° and value of y is 54°.

Learn More :-

ਪ੍ਰ:8.ਦਿੱਤੇ ਗਏ ਚਿੱਤਰ ਵਿੱਚ,∠4 =……………… In given figure, ∠4 =……………… दिए गए चित्र में, ∠4 =……………… *

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Answer 2

Answer:

see I have given you proper answer ok