Advertisements
Advertisements
प्रश्न
If PQRS is a square, then write the measure of ∠SRP.
Advertisements
उत्तर
The square PQRS is given as:
Since PQRS is a square.
Therefore,
PS = SR
and ∠PSR = 90°
Now, in ΔPSR, we have
PS = SR
That is, ∠1 = ∠2 (Angles opposite to equal sides are equal)
By angle sum property of a triangle.
∠PSR + ∠1 + ∠2 = 180°
∠PSR + 2∠1 = 180°
90° + 2∠1 = 180° (∠PSR = 90°)
2∠1 = 90°
∠1 = 45°
APPEARS IN
संबंधित प्रश्न
Find the angle measure x in the given Figure
Find the angle measure x in the given Figure
Find x + y + z
In Fig. below, ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Compute
∠CDB and ∠ADB.
The figure formed by joining the mid-points of the adjacent sides of a square is a
Can all the angles of a quadrilateral be acute angles? Give reason for your answer.
If three angles of a quadrilateral are each equal to 75°, the fourth angle is ______.
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is ______.
A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle is ______.
The angles P, Q, R and S of a quadrilateral are in the ratio 1:3:7:9. Then PQRS is a ______.
