Question

# If ABCD is a square, MDC is an Equilateral Triangle. Find the value of x

- 75°
- 90°
- 105°
- 60°

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 x.

## The correct answer is: 105°

### Here we have given a square ABCD. In that an equilateral triangle MDC is present.

We will use the concept of an 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 x is equal to 105 degrees.

### Related Questions to study

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

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.

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

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.

### In a Trapezium ABCD, as shown, and then length of AB is

### In a Trapezium ABCD, as shown, and then length of AB is

### In the following diagram, the bisectors of interior angles of the Parallelogram PQRS enclose a Quadrilateral ABCD. Then find angle A.

### In the following diagram, the bisectors of interior angles of the Parallelogram PQRS enclose a Quadrilateral ABCD. Then find angle A.

### In a Rhombus PQRS; if ?

### In a Rhombus PQRS; if ?

### In an Isosceles Trapezium PQRS, then find the length of PR.

### In an Isosceles Trapezium PQRS, then find the length of PR.

### ABCD is a square then find 'a’ in the given figure

### ABCD is a square then find 'a’ in the given figure

### What is the value of 'a’?

### What is the value of 'a’?

### Find the value of ' ' x in the following figure

### Find the value of ' ' x in the following figure

### In DABC, if AD is bisector and DE bisects find

Therefore, is 85.

### In DABC, if AD is bisector and DE bisects find

Therefore, is 85.

### Find ‘b’ in the given figure

Therefore, the value of b is 125.

### Find ‘b’ in the given figure

Therefore, the value of b is 125.

### Find x in the given figure

Therefore, the value of x is 65.

### Find x in the given figure

Therefore, the value of x is 65.

### Find x.

Therefore, the value of X is 70.

### Find x.

Therefore, the value of X is 70.

### Two circles of the same radii are

So we understood the concept of circles and how they can be equal with the same radii, so Congruent circles are those whose radii are equal.

### Two circles of the same radii are

So we understood the concept of circles and how they can be equal with the same radii, so Congruent circles are those whose radii are equal.

### The point which divides the line segment joint the points A(7,-6) and B(3,4) in the ratio 1:2 internally lies in the

Here we used the concept of line segment and section formula, the coordinates of the point that splits a line segment (either internally or externally) into a certain ratio are found using the Section formula. Here the x coordinate is positive and y coordinate is negative, so it lies in IV quadrant.

### The point which divides the line segment joint the points A(7,-6) and B(3,4) in the ratio 1:2 internally lies in the

Here we used the concept of line segment and section formula, the coordinates of the point that splits a line segment (either internally or externally) into a certain ratio are found using the Section formula. Here the x coordinate is positive and y coordinate is negative, so it lies in IV quadrant.

### 2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days What is the time taken by 1 woman alone?

So here we used the substitution method to solve the question, apart from this method we can also use the elimination method to solve the problem as we have variables here. So the total number of days taken by a woman is 18.

### 2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days What is the time taken by 1 woman alone?

So here we used the substitution method to solve the question, apart from this method we can also use the elimination method to solve the problem as we have variables here. So the total number of days taken by a woman is 18.