Answer:
The answer should be 69°
Step-by-step explanation:
Each line is being cut by a transversal, that means that the degree on the other side of it, added with the given degree will add up to 180°
1. On the right, you need to find the interior angle where 160° is outside so you subtract 180° from 160° to find the angle inside. That gives you 20°
2. On the top left you have 131° so 180°-131°=49°
Next you add the angles you have and then subtract it from 180 to get the interior angle with n° outside.
3. 20°+49°=69°
4. 180°-69°=111°
Then you do the same thing as the beginning which would be n°+111°=180°
5. n°+111°=180°, that means n=69°
Hopefully that clears it up for you :)
You had the right idea using the Pythagorean theorem to solve for b.
Problem is for that triangle to work, the 5 and the 2√2 would have to switch places. The length of a leg cannot be larger than the length of the hypotenuse for it to truly be a right triangle.
Pythagorean theorem only works for the right triangles. Only way to "solve this problem would be to bring in complex numbers.
5² + b² = (2√2)²
25 + b² = 2²(√2)²
25 + b² = 4(2)
25 + b² = 8
b² = 8 - 25
b² = - 17
b = √-17
b= (√17i)
Then the problem with THIS is a measurement/distance cannot be negative... which goes against exactly what that complex number i is.
-2(3)(5+3-8-3(3))
=-6(5+3-8-9)
=-30-18+48+54
=54
I’m pretty sure the answer is b! hope this helps!!
The answer is 18.975 but you might want to round that to 18.98
