<u>Answer-</u>
<em>After 76 swings</em><em> the angle through which it swings less than 1°</em>
<u>Solution-</u>
From the question,
Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.
So the angle of the second swing = 
Then the angle of third swing = 
So, this follows a Geometric Progression.

a = The initial term = 30
r = Common ratio = 
As we have to find the number swings when the angle swept by the pendulum is less than 1°.
So we have the nth number is the series as 1, applying the formula

Putting the values,


Taking logarithm of both sides,







Therefore, after 76 swings the angle through which it swings less than 1°
You add all the sides together, a good way to remember it is "perimeter, plus"
The temperature was -12 degrees
Answer: 55
The angles that measures 125 and y make a linear pair (equal 180)
So you just do 180-125 to get y