Answer:
sfygyisfislsiyitiyjhjs hjgks6skyk
Step-by-step explanation:
- jzsisfyisyistoisisooots
Answer:
![b=40.01\ units](https://tex.z-dn.net/?f=b%3D40.01%5C%20units)
Step-by-step explanation:
we know that
Applying the law of sines
![\frac{b}{sin(B)}=\frac{a}{sin(A)}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7Bsin%28B%29%7D%3D%5Cfrac%7Ba%7D%7Bsin%28A%29%7D)
![b=\frac{a}{sin(A)}(sin(B))](https://tex.z-dn.net/?f=b%3D%5Cfrac%7Ba%7D%7Bsin%28A%29%7D%28sin%28B%29%29)
we have
![a=25\ units](https://tex.z-dn.net/?f=a%3D25%5C%20units)
![A=32.5\°](https://tex.z-dn.net/?f=A%3D32.5%5C%C2%B0)
Find the measure of angle B
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
so
![A+B+C=180\°](https://tex.z-dn.net/?f=A%2BB%2BC%3D180%5C%C2%B0)
substitute the given values
![32.5\°+B+26.8\°=180\°](https://tex.z-dn.net/?f=32.5%5C%C2%B0%2BB%2B26.8%5C%C2%B0%3D180%5C%C2%B0)
![B=180\°-59.3\°=120.7\°](https://tex.z-dn.net/?f=B%3D180%5C%C2%B0-59.3%5C%C2%B0%3D120.7%5C%C2%B0)
Find the length side b
![b=\frac{a}{sin(A)}(sin(B))](https://tex.z-dn.net/?f=b%3D%5Cfrac%7Ba%7D%7Bsin%28A%29%7D%28sin%28B%29%29)
substitute the values
![b=\frac{25}{sin(32.5\°)}(sin(120.7\°))](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B25%7D%7Bsin%2832.5%5C%C2%B0%29%7D%28sin%28120.7%5C%C2%B0%29%29)
![b=40.01\ units](https://tex.z-dn.net/?f=b%3D40.01%5C%20units)
Answer:
alternate exterior angles and corresponding angles