Determine the shortest side in ΔDEF.
A) EF
B) DE
C) FE
D) DF

option B is the correct answer.

Step-by-step explanation:

The length of each side of the triangle varies directly with the angles of the triangle. This means that the longest side would be formed by the largest angle in the triangle and the shortest side is the side would be formed by the smallest angle in the triangle.

The smallest angle in the triangle is 43 degrees. Therefore, the shortest side of the triangle would be the side opposite 43 degrees.

Therefore, the shortest side is DE

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.