Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.




Now, SRT is a straight line.
(Linear pair)


...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get



Therefore, the value of x is 103 degrees.
Alright, so if the first number is x, the second number is y, and the third number is z, we have x+y+z=270. Next, since we know that x=y-1 since it is less than y by one and z=y+1, we have y-1+y+y+1=y+y+y=3y=270. Dividing both sides by 3, we get y=90
Number of children from an after school that went to the martinee = 40
Percentage of children from an after school that went to the martinee = 25%
Let us assume the number of children in the club = x
Then
25% * x = 40
(25x/100) = 40
x/4 = 40
x = 40 * 4
= 160
So the total number of children in the club is 160. I hope the procedure is clear enough for you to understand. you can always use this method for solving similar problems without requiring any help from outside.
Yes, I believe that is correct.
For this equation i got no solution so it’s e