Question

8) PQRS is a parallelogram. ZP=(7x-15)°and R=(3x+65)% Measure of S=
O
20°
O 13°
65°
125°​

Answer 1

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

Step-by-step explanation: