The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

Step-by-step explanation:

Pythagorean theorem: In a right angle triangle, the square of hypotenuse is equal to the sum of squares of other two sides

BC² + AB² = AC²

5² + AB² = 13²

25 + AB² = 169

        AB² = 169 - 25

        AB² = 144

       AB = √144 = √12*12

AB = 12cm

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.