English
Maharashtra State BoardSSC (English Medium) 9th Standard

If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.

Advertisements
Advertisements

Question

If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.

Options

  • 100°

  • 80°

  • 160°

  • 40°

MCQ
Fill in the Blanks
Advertisements

Solution

If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is 40°.

Explanation:

A rhombus is also a parallelogram so, the opposite angles will be congruent.

Thus, (2x)° = (3x - 40)°

3x - 2x = 40°

x = 40°

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Quadrilaterals - Problem Set 5 [Page 74]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 5 Quadrilaterals
Problem Set 5 | Q 1. (iii) | Page 74

RELATED QUESTIONS

Can the following figure be parallelogram. Justify your answer. 


Can the following figure be parallelogram. Justify your answer.


All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?


Two adjacent sides of a parallelogram are 4 cm and 3 cm respectively. Find its perimeter.


Which of the following statement is true for a rhombus? 

Two of its angles are at right angles 


Which of the following statement is true for a rhombus? 

It has all its sides of equal lengths.


Fill in the blank, in the following, so as to make the statement true: 

The diagonals of a rhombus ...... each other at ...... angles.


Fill in the blank, in each of the following, so as to make the statement true: 

If the diagonals of a parallelogram bisect each other at right angles, then it is a ......


The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?


The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is 'No', draw a figure to justify your answer.


Construct a rhombus whose diagonals are of length 10 cm and 6 cm.


Draw a rhombus, having each side of length 3.5 cm and one of the angles as 40°.

 


Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.


Which of the following statement is true for a rectangle? 

Its diagonals are equal and bisect each other.


Diagonals of a rhombus are 20 cm and 21 cm respectively, then find the side of rhombus and its perimeter.


The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and y.


If the diagonal of a rhombus are equal, then the rhombus is a


A quadrilateral whose all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ______.


ABCD is a rhombus such that the perpendicular bisector of AB passes through D. Find the angles of the rhombus.

Hint: Join BD. Then ∆ABD is equilateral.


Construct a rhombus whose side is 5 cm and one angle is of 60°.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×