Question

Find the value of Y
please answer​

Answer 1

Answer:

It's 33 degree

Step-by-step explanation:

Answer 2

Required Answer:-

Given to find:

• The value of ∠Y.

Solution:

Given that,

1. ∠QPR = 60°

2. ∠PSR = 25°

3. PR = RS

We know that, if two sides of a triangle are equal, then the triangle is an isosceles triangle.

Here,

➡ PR = RS

So, ΔPRS is an isosceles triangle.

Therefore,

∠PSR = ∠RPS = 25°

Also,

➡ ∠PRS + ∠PSR + ∠RPS = 180°

➡ ∠PRS + 25° + 25° = 180°

➡ ∠PRS = 180° - 50°

➡ ∠PRS = 130°

We know that, exterior angle is equal to the sum of opposite two interior angles.

Here, ∠PRS is the exterior angle and ∠Y, ∠QPR are the interior angles of ΔPQR.

So,

➡ ∠Y + ∠QPR = ∠PRS

Putting the values, we get,

➡ ∠Y + 60° = 130°

➡ ∠Y = 130° - 60°

➡ ∠Y = 70°

Hence,

➡ ∠Y = 70° (Answer)