Find the angles which are :1) vertically opposite and are (a + 30) and

1.	Find the angles which are :1) vertically opposite and are (a + 30) and (b-20) such that a and b form a linear pair and are vertically opposite.
Answer» Step-by-step explanation: As we all know that vertically opposite angle USE to be of equal measure So here the condition must be verified Now our basic goal is to REPRESENT two equal angles in the form of LINEAR equations in 2 VARIABLES a and b So if we take 60° Then a+30=60 And b-20=60 So a+30=b-20 as according to question So a-b=-50 Now a=30 and b=80 from eq. (1) and eq.(2) and a-b must be equal to -50 Now 30-80=-50 So -50 =-50 LHS=RHS hence verified

Find the angles which are :1) vertically opposite and are (a + 30) and (b-20) such that a and b form a linear pair and are vertically opposite.

Answer»

Step-by-step explanation:

As we all know that vertically opposite angle USE to be of equal measure

So here the condition must be verified

Now our basic goal is to REPRESENT two equal angles in the form of LINEAR equations in 2 VARIABLES a and b

So if we take 60°

Then a+30=60

And b-20=60

So a+30=b-20 as according to question

So a-b=-50

Now

a=30 and b=80 from eq. (1) and eq.(2)

and a-b must be equal to -50

Now 30-80=-50

So -50 =-50

LHS=RHS

hence verified