Answer:
sin A = 12/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite side/ hypotenuse
sin A = 12/13
Both angles will equal 180, as there is a line bisecting line AB to create the two angles.
Set up the following equation to have both angles equal 180:
![(x + 35) + (x - 23) = 180](https://tex.z-dn.net/?f=%28x%20%2B%2035%29%20%2B%20%28x%20-%2023%29%20%3D%20180)
![x + 35 + x - 23 = 180](https://tex.z-dn.net/?f=x%20%2B%2035%20%2B%20x%20-%2023%20%3D%20180)
Combine like terms:
![x + x = 2x](https://tex.z-dn.net/?f=x%20%2B%20x%20%3D%202x)
![35 - 23 = 12](https://tex.z-dn.net/?f=35%20-%2023%20%3D%2012)
![2x + 12 = 180](https://tex.z-dn.net/?f=2x%20%2B%2012%20%3D%20180)
Subtract 12 from both sides:
![2x = 168](https://tex.z-dn.net/?f=2x%20%3D%20168)
Divide both sides by 2:
![x = 84](https://tex.z-dn.net/?f=x%20%3D%2084)
We now know the value of x, so plug it into the equation we set up:
![(84 + 35) + (84 - 23) = 180](https://tex.z-dn.net/?f=%2884%20%2B%2035%29%20%2B%20%2884%20-%2023%29%20%3D%20180)
![119 + 61 = 180](https://tex.z-dn.net/?f=119%20%2B%2061%20%3D%20180)
An obtuse angle will have a measure above 90 degrees. The number on the left side that is above 90 degrees is 119. This would be the measure for the obtuse angle.
The obtuse angle is
119 degrees wide.
17
This is gonna be confusing but this is how you solve stuff like this
8 x 8 = 64 15 x 15 = 225
64 + 225 = 289
Find the square root of 289
17