To figure out the degrees, you would create a ratio.
Since there are 360 degrees in your circle, that would be representative to 100 (because both are the total of what you want to find), and x would be representative to what degrees 65 is equal to.
your ratio should look like,
65/100=x/360
cross multiply and get
65(360)=100x
23400=100x
x=234
It looks hard to read like this, but if you write it out on your paper it should make more sense!
Answer:

Step-by-step explanation:
The window consists of a large square and 4 smaller triangles on the outside. The side length of this square is marked as 10, and therefore the area of this square is
.
The area of a triangle is given by
. Since the problem states that the overlapping squares are congruent, both legs of the triangle will be
and intersect at a
angle.
Thus, the sum of all four triangles is
.
Therefore, the area of the window is:

You would subtract x from each side. It would then be 3y=-x-15. Then you would divide all of the equation by 3. Your final answer would be y=-3x-5.
Answer:
x=9
<A=23
<B= 69
Step-by-step explanation:
1. 2x+5+3(2x+5)=92 2. 2x+5+6x+15=92 3. 8x+20=92 4. 8x=72 5. x=9
<A= 2(9)+5=18+5=23
<B= 3(2(9)+5)=3(23)=69
Answer:
Option (2). 14 m
Step-by-step explanation:
Formula to get the area of a circle 'A' = 
where r = radius of the circle
Given in the question,
Area of the circle = 153.86 square meters
By putting the values in the formula,
153.86 = πr²
r = 
r = 
r = 7 meters
Diameter of circle = 2 × (radius of the circle)
= 2 × 7
= 14 meters
Therefore, diameter of the circle is 14 meters.
Option (2) is the answer.