These angles are adjacent which means they share a side and a vertex. Adjacent angles are also supplementary so the measure of the two angles add up to 180 degrees. Since angle 1 is 137 degrees, angle two is 43 degrees. I hope this explanation helps you.
Answer:
D.) 12/5
Step-by-step explanation:
tangent is opposite over the adjacent side so the opposite of x is 24 and the adjacent is 10 so 24/10 divided by 2 gets you 12/5
Answer: There are no real solutions.
Step-by-step explanation:
We have the equation:
x = y^2
y = x + 3/2
To solve this, we can start by noticing that x is already isolated in the first equation, then we can replace it in the second equation to get:
y = y^2 + 3/2
And now we can rewrite this as:
y^2 - y + 3/2 = 0
This is a quadratic equation, and the solutions can be calculated with Bhaskara's equation, the solutions are:

We have a negative number inside the square root, this means that the solutions are complex numbers.
Then we can conclude that the system of equations has no real solutions.
Answer: B and C
Step-by-step explanation: For A, vertical angles can be complimentary or supplementary. For D, vertical angles can sometimes be acute but not always.
X=1119/2 hope this helps :)