Answer:
x = 70; the labeled angles are 110º and 70º.
Step-by-step explanation:
The full degrees will add up to 180º. There are 2x and +40.
Equation: 
Solve: 
Since x=70, 70+40 will equal to 110.
Therefore, "x = 70; the labeled angles are 110º and 70º." is correct.
Answer:
lesser x is 1
greater x is 3
Step-by-step explanation:
Here, we want to solve the equation so as to get the bigger and the lesser x values
We proceed as follows;
x^2 -4x + 3 = 0
x^2 - x-3x + 3 = 0
x(x-1) -3(x-1) = 0
(x-3)(x-1) = 0
x = 3
or x = 1
Greater x is 3
lesser x is 1
The value of x from the given diagram is 17
<h2>Vertically opposite angles</h2>
From the given diagram, m<2 and m<3 are vertically opposite since they form angles from the intersection of lines at the point X
Given that;
- m<2 = 4x + 2
- m<3 = 5x - 15
Equate both expressions to have:
m<2 = m<3
4x + 2 = 5x - 15
4x - 5x = -15 - 2
-x = -17
x = 17
Hence the value of x from the given diagram is 17.
Learn more on vertical angles here; brainly.com/question/1673457