Answer asap! : )
what is the value of x?

work shown:

line m is parallel to line n. the same side interior angles of 45 and (2x-5) degrees will add to 180 degrees, as these two angles are supplementary. in other words, they form a straight angle.

add up the two angles, set the result equal to 180, solve for x

45 + (2x - 5) = 180

45 + 2x - 5 = 180

2x + 45 - 5 = 180

2x + 40 = 180 combine like terms

2x + 40 - 40 = 180 - 40 subtracting 40 from both sides

2x = 140

2x/2 = 140/2 dividing both sides by 2

x = 70

we see that if x = 70, then 2x-5 = 2*70-5 = 140-5 = 135 is the bottom angle. which if added to the top angle, it leads to 45+135 = 180. so that confirms we have the right answer. another way to confirm is to plug x = 70 into the original equation above to get

45 + (2x - 5) = 180

45 + (2*70 - 5) = 180

45 + 140 - 5 = 180

185 - 5 = 180

180 = 180

and this also confirms the answer

correct answers below:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.