Question

PQRS is cyclic. if m QPS=115° then what is m QRS?

​

Answer 1

SOLUTION

GIVEN

• PQRS is cyclic.

• ∠QPS = 115°

TO DETERMINE

The value of ∠ QRS

CONCEPT TO BE IMPLEMENTED

We are aware of the Theorem that :

The sum of the opposite angles in a cyclic quadrilateral is equal to 180°

EVALUATION

Here it is given that

PQRS is cyclic.

∠QPS = 115°

Since PQRS is cyclic quadrilateral

So the sum of the opposite angles in a cyclic quadrilateral is equal to 180°

∴ ∠QPS + ∠QRS = 180°

⇒ 115° + ∠QRS = 180°

⇒∠QRS = 180° - 115°

⇒ ∠QRS = 65°

FINAL ANSWER

∠QRS = 65°

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ The angles of the triangle are 3x–40, x+20 and 2x–10 then the value of x is

(a) 40 (b) 35 (c) 50 (d) 45

https://brainly.in/question/4194032

2. parallelogram and a triangle have a common base. If area of the triangle is 20cm^2 then find area of a parallelogram

https://brainly.in/question/36155817

Answer 2

Answer:

gsgdhdhdhdjjcjfjfydhjdudfiudufuffhvkf