Question

In this figure,PQRS is a parallelogram find x and y

Answer 1

Answer:

Property of parallelogram : Opposite angles of parallelogram are equal .

So, ∠P=∠R

Since we are given that ∠P=110°

∠R = (5x+10)°

So,  ∠P=∠R

110° =  (5x+10)°

110-10 =5x

100 = 5x

20 =x

So, ∠R = (5x+10)° = (5(20)+10)° = 110°

Property : Consecutive angles are supplementary i.e. sum of consecutive angles are 180°

⇒∠R+∠Q = 180°

⇒110°+(2y+10)° = 180°

⇒(2y+10)° = 180°-110°

⇒(2y+10) = 70

⇒2y = 70-10

⇒2y = 60

⇒y=30

Hence the value of x is 20 and y = 30.

Step-by-step explanation:

Answer 2

here the answer is y=12 x=8

Step-by-step explanation:

Answer:

Property of parallelogram: Opposite angles of parallelogram are equal.

So, ZP=ZR

Since we are given that ZP=110°

ZR = (5x+10)°

So, ZP-ZR

110° = (5x+10)

110-10 =5x

100 = 5x

20=X

So, ZR = (5x+10)° = (5(20)+10)° = 110°