In DJKL, side JK measures 10.6 inches, side KL measures 7 inches, and side JL measures 5 inches. Based on the
information that is provided, which could be a correct set of angle measures for these sides?
O angle J = 23.2°, angle K = 33.5º. angle L = 23.20
angle J= 23.2°, angle K = 33.5", angle L = 123.2°
O angle J = 123.2°, angle K= 23.2°, angle L = 33.5°
angle J = 33.5°, angle K = 23.2°, angle L = 123.2°

(D)Angle J = 33.5°, Angle K = 23.2°, Angle L = 123.2°​

Step-by-step explanation:

KL, j=7 Inches, JL, k=5 Inches, JK, l=10.6 Inches

In order to find the correct set of angles, since we are given three sides, we apply the Law of Cosines.

In the options, we only have 1 where J is the angle gotten above, therefore that is the correct option.

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.

the answer is two. hope this !