Two interesting lines create four angles; <1 and <3 are a vertical line. Their sum or their measures is equal to 68 degrees. What equation solves for the value of each angle.

Question

A.68x=2
B. 2x=68
C. X=68
D. 2x+68=180

Answer 1

D. 2x + 68 = 180

Explanation: Since angles 1 and 3 are a vertical pair, they are equal in measure. Let x represent the measure of each angle. The sum of both angles is 68 degrees. So, the equation to represent this relationship is: 2x = 68.

Additionally, since angles 1 and 3 create four angles, and the sum of angles in a straight line is 180 degrees, we have the equation: 2x + 68 = 180. This equation can be used to solve for the value of each angle.

Answer 2

In a geometric figure two intersecting lines create fur angles. If m<1 and m<3 are a vertical pair, m<1 = (4x+26) and m<3= 98, what is the value of x
A.72
B.18
C. 14
D98

Answer 3

Given that angles 1 and 3 are a vertical pair, they are equal in measure.

m<1 = 4x + 26
m<3 = 98

Since angles 1 and 3 are equal, we can set up an equation:

4x + 26 = 98

Solving for x:

4x = 98 - 26
4x = 72
x = 72 / 4
x = 18

Therefore, the value of x is 18.

So, the correct answer is:

B. 18