Answer:
Attachment 1 :- x = 3/2
Attachment 2 :- m + r = 154°
Step-by-step explanation:
Attachment 1 :-
[tex]9^(^2^-^x^) = 3\\=> 3^2^(^2^-^x^) = 3\\[/tex]
As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-
[tex]2(2 - x) = 1\\=> 2 - x =\frac{1}{2} \\=> x = 2 - \frac{1}{2} = \frac{3}{2}[/tex]
Attachment 2 :-
PQR is a straight line . It's given that m + n = 110°
But we know that m + n + r = 180° ..............eqn.1
So substituting the value of m+n in eqn.1 gives :-
m+n+r = 180°
=> r + 110° = 180°
=> r = 180° - 110°
= 70°
It's also given that n+r = 96°
So putting the value of r in the above gives ,
n+r = 96°
=> n + 70° =96°
=> n = 96° - 70°
= 26°
Putting the value of n in eqn.1 gives
m + n = 110°
=> m + 26° = 110°
=> m = 110° - 26°
= 84°
So m + r = 84° + 70° = 154°
