Question

in the given figure , what will be the value of angle y​

Answer 1

Answer:

Since AB = AC, the angles opposite to these lines would also be equal. This is a well known theorem.

Hence we get:

• ∠A = ∠C = x° (assumption)

Now consider Δ ABC.

Applying Angle Sum property we get:

⇒ ∠A + ∠B + ∠C  = 180°

⇒ x° + 72° + x° = 180°

⇒ 2x° = 180° - 72°

⇒ 2x° = 108°

⇒ x° = 108/2 = 54°

Hence ∠A and ∠C is equal to 54°.

Now since BC is parallel to DE, the corresponding angles are also equal. Hence,

• ∠B = ∠D
• ∠C = ∠E

Therefore, ∠D is equal to 72° and ∠E = 54°.

Now on close observation we can see that,

⇒ ∠CED + y = 360° . [Since it forms a circle]

⇒ 54° + y = 360°

⇒ y = 360° - 54°

⇒ y = 306°

Hence the value of ∠y is 306°.

Answer 2

Answer:

Step-by-step explanation: