Question

in quadrilateral pqrs the sum of angle q and s is half of p and r if p is 130 what is r​

Answer 1

Answer:

∠P = 120 ° , ∠Q = 120 ° , ∠R = 60 °  and ∠S = 60 °  

Step-by-step explanation:

Given ,

∠P =  ∠Q, ∠R =  ∠S  and ∠P =  2∠R

To find, the measure of each angle = ?

By angle sum property of quadrilateral ,

∠P + ∠Q + ∠R + ∠S = 360 °  

⇒ ∠P + ∠Q + ∠R + ∠S = 360 °

⇒ 2∠R + 2∠R + ∠R + ∠R = 360 °

⇒ 6∠R = 360 °

⇒ ∠R =60 °

∴ ∠P =  ∠Q = 2 × 60 ° = 120 °  and

∠R =  ∠S = 60 °  

Hence, ∠P = 120 ° , ∠Q = 120 ° , ∠R = 60 °  and ∠S = 60 °.  

MARK AS BRAINLIEST

Answer 2

Answer:

Answer

4.0/5

58

sanskar6411

given

<p=<q

<r=<s

and <p=2<r

by angle sum property of quadrilateral

<p+<q+<r+<s=360

2<r+2<r+<r+<r=360

<r=360/6

=60

hence each angle measures

<p=120=<q

<r=60=<s

Step-by-step explanation: