Question

# If PQRS is a Square and STR is an Equilateral Triangle. Find the value of a

- 60°
- 75°
- 90°
- 45°

Hint:

### The definition of a triangle is a polygon with three sides and three angles. A triangle's inside angles total 180 degrees, whereas its external angles total 360 degrees. Here we have given a figure and we have to find the angle a. Using the concept of equilateral triangle and diagonals, we will find angle a.

## The correct answer is: 75°

### Here we have given a square PQRS. In that an equilateral triangle STR is present.

We will use the concept of equilateral triangle and right angle triangle in this problem to solve. An equilateral triangle in geometry is a triangle with equally long sides. The three angles opposite the three equal sides are equal in size because the three sides are equal. As a result, with each angle measuring 60 degrees, it is sometimes referred to as an equiangular triangle.

So here we were given a square PQRS and in that an equilateral triangle STR is present. We used the concept of equilateral triangle to solve the answer. So the angle a is equal to 75 degrees.

### Related Questions to study

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