42 will give brainliest for what value of x is line m parallel to line n? enter your answer in the box. x =

In order for the Line m to be parallel with Line n :

Angle (3x + 5)° should be Equal to Angle 65°

Because they are Corresponding Angles and If two parallel lines are cut by a Transversal , The Corresponding angles should be Equal.

⇒ (3x + 5)° = 65°

⇒ 3x = 65 - 5°

⇒ 3x = 60°

⇒ x = 20°

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.