Answer:
Option (2)
Step-by-step explanation:
Measure of angle formed by two tangents from a point outside the circleis half the difference of the measures of the intercepted arcs.
From the figure attached,
m∠C = ![\frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Ctext%7Bmajor%20arc%20AB%7D%29-m%28%5Ctext%7Bminor%20arc%20AB%29%7D%5D)
= ![\frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%28360-m%5Cwidehat%7BAB%7D%29-m%28%5Cwidehat%7BAB%7D%29%5D)
= ![\frac{1}{2}[360-2m(\widehat{AB})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B360-2m%28%5Cwidehat%7BAB%7D%29%5D)
= 
= 180 - 150
= 30°
Therefore, measure of angle C will be 30°.
Option (2) is the answer.
60 because all of the sides are equal
Answer:
Step-by-step explanation:
If the sum of two angles = 180°
Then the pair of angles will be supplementary.
If the sum of two angles = 90°
Then the pair of angles will be complementary.
Sum of angles having measures 98° and 82° = 98° + 82°
= 180°
Therefore, both the angles will be supplementary.
Sum of angles having measures 134° and 36° = 134° + 36°
= 170°
Therefore, these angles are neither supplementary nor complementary.
So the answer is NEITHER.
Answer:
A= 41° a=9.84... b=11.32...
Step-by-step explanation:
given B = 49° and C = 90°
and A + B + C = 180
so 49+90+A=180
A= 41°
we also know c (small) is 15 units
and maybe you know this SOH CAH TOA? no, i'm not calling anyone names :P this is just the mnemonic to memorize how sin , cos and tan fit sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj
Hyp is the hypontenuse of the triangle ( the long side). Opposite (Opp) means the side opposite from what ever angle you are starting at..adjacent (Adj) means what ever angle is next to where you are starting from.
use Cos(49) to find the side a
a is an adjacent side to the 49 angle. We know the Cos and we know the Hyp .. so solve for adj...
Cos(Ф)=Adj/ Hyp
Hyp*Cos(Ф)=Adj
15*Cos(49)= Adj
9.84...=Adj=a
now lets' use sin for the opposite side or b
sin(Ф)=Opp/Hyp
Hyp*Sin(Ф) = Opp
15*sin(49)= Opp
11.32...= Opp =b
Answer:
168
Step-by-step explanation:
you get 3.5% of 800 and then multiply it by 6.
