If PQRS is a rhombus such that ∠PRQ = 40, then ∠PSQ is:
Given:
PQRS is a rhombus.
∠PRQ = 40°
Solution:
Since PQRS is a rhombus, the diagonals bisect the angles at the vertices.
Therefore, ∠PRQ = ∠PRS. = 40°
∠PSR + ∠QRP = 180°
∠PSR+ ∠PRQ + ∠PRS = 180°
∠PSR + 40° +40° = 180°
∠PSR = 180° - 80°
∠PSR = 100°
∠PSQ = 100°/2 = 50°
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishIn the given figure, ABCD is a square. Angle DEC = 75 degrees. What is the value (in degrees) of angle EFA?
In the given figure, what is value (in degrees) of Q?
Let ABCD be a quadrilateral which satisfies any of the following conditions.
( i ) opposite sides are equal
( ii ) each diagonal of ABCD divides it into congruent triangles
( iii ) each pair of opposite angles are equal
( iv ) diagonals of ABCD bisect each other
Then ABCD has to be a _____________
How many diagonals can be there in a regular polygon with 37 sides?
A parallelogram is a quadrilateral in which:
The number of diagonals in a hexagon is :
ABCD is a trapezium in which BC || AD and AC = CD. If ∠ABC = 54° and ∠BAC = 60°, then what is the measure of ∠ACD (in degree)?
ABCD is a trapezium in which BC || AD and AC = CD. If ∠ABC = 19° and ∠BAC = 137°, then what is the measure of ∠ACD (in degree)?
In the given figure, ABCD is a square. Angle DEC = 75 degrees. What is the value (in degrees) of angle EFA?
In the given figure, what is value (in degrees) of Q?
Suggested Test Series
Suggested Test Series
In the given figure, ABCD is a square. Angle DEC = 75 degrees. What is the value (in degrees) of angle EFA?
In the given figure, what is value (in degrees) of Q?
Let ABCD be a quadrilateral which satisfies any of the following conditions.
( i ) opposite sides are equal
( ii ) each diagonal of ABCD divides it into congruent triangles
( iii ) each pair of opposite angles are equal
( iv ) diagonals of ABCD bisect each other
Then ABCD has to be a _____________
How many diagonals can be there in a regular polygon with 37 sides?
A parallelogram is a quadrilateral in which:
The number of diagonals in a hexagon is :
ABCD is a trapezium in which BC || AD and AC = CD. If ∠ABC = 54° and ∠BAC = 60°, then what is the measure of ∠ACD (in degree)?
ABCD is a trapezium in which BC || AD and AC = CD. If ∠ABC = 19° and ∠BAC = 137°, then what is the measure of ∠ACD (in degree)?
In the given figure, ABCD is a square. Angle DEC = 75 degrees. What is the value (in degrees) of angle EFA?
In the given figure, what is value (in degrees) of Q?
