Question

anyone plz.. tell with explanation ​

Answer 1

Step-by-step explanation:

Measurement of angle ROS is 31° as the property of rectangle says that the all angles of rectangle are same.

Answer 2

• ∠RQS is 59°.

Step-by-step explanation:

Given:-

• PQRS is a rectangle.
• ∠QPR is 31°.

To find:-

• Measure of ∠RQS.

Solution:-

In ∆PQR and ∆SRQ.

QR = QR [Common side]

∠Q = ∠R = 90° [All angles of rectangle is of 90°]

PQ = SR [Opposite sides of rectangle are equal]

By, SAS congruency

✳ ∆PQR ≌ ∆SRQ

By CPCT.

✳ ∠QPR = ∠RSQ = 31°

We know that,

Sum of all interior angles of triangle is equal to 180°.

So,

In ∆SRQ,

➞ ∠RSQ + ∠SRQ + ∠RQS = 180°

➞ 31° + 90° + ∠RQS = 180°

➞ 121° + ∠RQS = 180°

➞ ∠RSQ = 180° - 121°

➞ ∠RSQ = 59°

Therefore,

∠RSQ is 59°