Answer: I'm late but do you still need the answer?
Step-by-step explanation:
Answer:
From the law of sines, we have:
,
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:
, thus
.
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.
Hope this helps!
Answer:
A
Step-by-step explanation:
To convert degrees to radians
radian measure = degree measure × 
Hence
radian measure = 150° ×
Cancel both 150 and 180 by 30, then
radian measure = 5 × 
= 
Answer:
1. 51°
2. 40°
3. 65°
4. 60°
Step-by-step explanation:
The sum of the angles in a triangle is 180°. We can use the angles given to find the missing angle.
1. 51°
42+87+x=180
129+x=180
x=51
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2. 40°
110+30+x=180
140+x=180
x=40
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3. 65°
20+95+x=180
115+x=180
x=65
-------------------------------------------------------------------------------
4. 60°
60+60+x=180
120+x=180
x=60
It can be represented by this expression: -20+20
