Answer: 75°
Step-by-step explanation:
Solution;
Here:. let, one angle be x
From the question ,
x+15=90(Being sum of complementary angle)
x=90-15
x=75
cos(a - b) - cos(a + b) = 2sin(a)sin(b)
[cos(a)cos(b) + sin(a)sin(b)] - [cos(a)cos(b) - sin(a)sin(b)] = 2sin(a)sin(b)
[cos(a)cos(b) - cos(a)cos(b)] + [sin(a)sin(b) + sin(a)sin(b)] = 2sin(a)sin(b)
2sin(a)sin(b) = 2sin(a)sin(b)
Answer:
150 of Grant`s coins are quarters. i hope this helped
Answer:
Let me know if you want more explanation
Step-by-step explanation:
Alright, to solve for x we need 2 angles that are congruent or equal.
I'm going to use the two we will need later. KLN and MNL
Now to find x ^^
![2x-18=x+6\\2x-18-x=x+6-x\\x-18=6\\x-18+18=6+18\\x=24](https://tex.z-dn.net/?f=2x-18%3Dx%2B6%5C%5C2x-18-x%3Dx%2B6-x%5C%5Cx-18%3D6%5C%5Cx-18%2B18%3D6%2B18%5C%5Cx%3D24)
Now we just need to plug it into each angle. I'm going to show you them separately.
![KLN=2x-18\\KLN=2(24)-18\\KLN=48-18\\KLN=30](https://tex.z-dn.net/?f=KLN%3D2x-18%5C%5CKLN%3D2%2824%29-18%5C%5CKLN%3D48-18%5C%5CKLN%3D30)
![MNL=4x-6\\MNL=4(24)+6\\MNL=102](https://tex.z-dn.net/?f=MNL%3D4x-6%5C%5CMNL%3D4%2824%29%2B6%5C%5CMNL%3D102)
should be right now.