Verified answer

Answer:

1st option is correct

Step-by-step explanation:

When two parallel lines are cut by a transversal, the co-interior angles (also known as consecutive interior angles) are supplementary, meaning they add up to 180 degrees.

Let's denote the measures of the two co-interior angles as 3x + 10° and 2x - 40°.

Since they are co-interior angles, we can set up the equation:

(3x + 10°) + (2x - 40°) = 180°

Now, let's solve for x:

3x + 10° + 2x - 40° = 180°

5x - 30° = 180°

5x = 180° + 30°

5x = 210°

x = 210° / 5

x = 42°

So, the value of x is 42°.

Answer:

we know that

co interiors angle are supplementary

3x + 10 + 2x - 40 equal 180

5x - 30 equal 180

5 X equal 210

the value of x =

42 degree

Step-by-step explanation:

please subscribe this channel in photo