Answer:
1.42
hope this helps
have a good day :)
Step-by-step explanation:
![\sf\huge\underline{\star Solution:-}](https://tex.z-dn.net/?f=%5Csf%5Chuge%5Cunderline%7B%5Cstar%20Solution%3A-%7D)
<u>Ratio of two angles are 6:13.</u>
So, let the one angle be
and another be ![\sf{13x.}](https://tex.z-dn.net/?f=%5Csf%7B13x.%7D)
As we know that,
Sum of all interior angles of a quadrilateral = ![\sf\pink{360°.}](https://tex.z-dn.net/?f=%5Csf%5Cpink%7B360%C2%B0.%7D)
So let's sum up the given angles,
![\sf{222°+81°+6x+13x \:=\: 360°}](https://tex.z-dn.net/?f=%5Csf%7B222%C2%B0%2B81%C2%B0%2B6x%2B13x%20%5C%3A%3D%5C%3A%20%20360%C2%B0%7D)
![\sf{303+19x \:=\: 360°}](https://tex.z-dn.net/?f=%5Csf%7B303%2B19x%20%5C%3A%3D%5C%3A%20%20360%C2%B0%7D)
![\sf{19x \:=\: 360-303}](https://tex.z-dn.net/?f=%5Csf%7B19x%20%5C%3A%3D%5C%3A%20%20360-303%7D)
![\sf{19x \:=\: 57}](https://tex.z-dn.net/?f=%5Csf%7B19x%20%5C%3A%3D%5C%3A%20%2057%7D)
![\sf{x \:=\: \frac{19}{57}}](https://tex.z-dn.net/?f=%5Csf%7Bx%20%5C%3A%3D%5C%3A%20%20%5Cfrac%7B19%7D%7B57%7D%7D)
![\sf{x \:=\: 3}](https://tex.z-dn.net/?f=%5Csf%7Bx%20%5C%3A%3D%5C%3A%20%203%7D)
Hence, ![\sf{x \:=\: 3}](https://tex.z-dn.net/?f=%5Csf%7Bx%20%5C%3A%3D%5C%3A%20%203%7D)
So, First angle
![\sf\purple{18°.}](https://tex.z-dn.net/?f=%5Csf%5Cpurple%7B18%C2%B0.%7D)
Second angle
![\sf\purple{39°.}](https://tex.z-dn.net/?f=%5Csf%5Cpurple%7B39%C2%B0.%7D)
_________________________________
Hope it helps you:)
Answer: 56 degrees
Step-by-step explanation:
We know that angle between b and c is 90 degrees. Because there is a line dividing angles a and b from 124 and c, we also know that each side is 180 degrees (a and b add to 180, and 124 and c add to 180).
124 and c are supplementary angles. We can represent this in an equation to solve for c:
![124 + c = 180\\\\c = 56](https://tex.z-dn.net/?f=124%20%2B%20c%20%3D%20180%5C%5C%5C%5Cc%20%3D%2056)
19+x/2=4
multiply 2 on both sides
19+x=4 times 2
19+x=8
subtract 19 on each side
x=8-19
subtract
x=-11
Answer:
b=8.5cm
Step-by-step explanation:
tanx (this represents tan theta, it's just easier to type) is equal to 0.6 and since the tanx ratio is opp/adj, we know that opp/adj = 0.6
To find what b is (adjacent as it is adjacent to the angle being used and it is not the hypotenuse), we just have to rearrange.
0.6=5.1/adj
to solve for adj, we can switch 0.6 and adj. (This works because to get adj by itself on one side you would multiply it to the other side and then divide 0.6 from both sides --> simple algebra)
so then you have
adj=5.1/0.6
adj=8.5cm
(if you want to check your solution you can use pythagoeran theorem, a^2+b^2=c^2) and sub everything in and make sure all the numbers equal the right thing!