Question

please solve it with solution​

Answer 1

Required Answer:-

Given:

• ∠x : ∠y = 3 : 4

To find:

• Value of ∠ y

Answer:

• ∠y = 80°, Option B is the answer.

Solution:

Given that,

➡ ∠x : ∠y = 3 : 4

Let us assume that,

• ∠x = 3a and,
• ∠y = 4a

Also, we know that,

➡ Exterior angle of a triangle is equal to the sum of opposite two interior angles.

Here,

140° is an exterior angle and w.r.t to this angle, ∠x and ∠y are opposite two interior angles.

So, according to the given condition,

➡ ∠x + ∠y = 140°

➡ 3a + 4a = 140°

➡ 7a = 140°

➡ a = 20°

Now,

➡ ∠y = 4a = 80°

So, the value of ∠y is 80°. Option b is the answer for your question.