<span>We have to calculate the length of the missing side.
Use the Pythagorean theorem:
![a^2+32^2=58^2\\\\a^2+1024=3364\ \ \ |-1024\\\\a^2=2340\to a=\sqrt{2340}\\\\a=\sqrt{36\cdot65}\\\\a=6\sqrt{65}](https://tex.z-dn.net/?f=a%5E2%2B32%5E2%3D58%5E2%5C%5C%5C%5Ca%5E2%2B1024%3D3364%5C%20%5C%20%5C%20%7C-1024%5C%5C%5C%5Ca%5E2%3D2340%5Cto%20a%3D%5Csqrt%7B2340%7D%5C%5C%5C%5Ca%3D%5Csqrt%7B36%5Ccdot65%7D%5C%5C%5C%5Ca%3D6%5Csqrt%7B65%7D)
![\cos x=\dfrac{6\sqrt{65}}{58}=\dfrac{3\sqrt{65}}{29}](https://tex.z-dn.net/?f=%5Ccos%20x%3D%5Cdfrac%7B6%5Csqrt%7B65%7D%7D%7B58%7D%3D%5Cdfrac%7B3%5Csqrt%7B65%7D%7D%7B29%7D)
I think. Your answers to choice are wrong.
</span>
Answer:
80°
Step-by-step explanation:
Let the angle be x then four times it's complement plus 60, that is
4(90 - x) + 60 ← is it's supplement
Supplementary angles sum to 180°
Sum the angle and it's supplement and equate to 180
x + 4(90 - x) + 60 = 180 ← distribute and simplify left side
x + 360 - 4x + 60 = 180
- 3x + 420 = 180 ( subtract 420 from both sides )
- 3x = - 240 ( divide both sides by - 3 )
x = 80
The required angle = x = 80°
supplement = 4(90 - 80) + 60 = 4 × 10 + 60 = 40 + 60 = 100°
Answer:
-1
Step-by-step explanation:
55d+10
55/11=5.
10/5=2
5(11)+2