Question

PQRS is a quadrilateral. Q=(5x-10),R=(3x-10),S=(2x-10) find the x

Answer 1

Answer:

Answer

We know that, opposite angles of a parallelogram are equal.

∴ ∠Q=∠S

⇒ 4x−5=3x+10

⇒ 4x−3x=10+5

⇒ x=15

⇒ ∠Q=(4x−5)

o

=(4×15−5)

o

=55

o

We know that, sum of adjacent angles of parallelogram is 180

o

⇒ ∠Q+∠R=180

o

⇒ 55

o

+∠R=180

o

∴ ∠R=125

o

Answer 2

Answer:

We know that, opposite angles of a parallelogram are equal.

∴  ∠Q=∠S

⇒  4x−5=3x+10

⇒  4x−3x=10+5

⇒  x=15

⇒  ∠Q=(4x−5)  

o

=(4×15−5)  

o

=55  

o

 

We know that, sum of adjacent angles of parallelogram is 180  

o

 

⇒  ∠Q+∠R=180  

o

 

⇒  55  

o

+∠R=180  

o

 

∴  ∠R=125  

o