What type of proofs did they use? Select the correct answer from each drop-down menu. Julie and Samuel were each asked to prove with the given information.

Given:

Prove:

Julie's Proof
Statements Reasons
1. 1. given
2. 2. given
3. 3. angle addition postulate
4. 4. substitution property of equality
5. 5. subtraction property of equality

Samuel's Proof
Statements Reasons
1. 1. assumption
2. 2. given
3. 3. angle addition postulate
4. 4. substitution property of equality
5. 5. subtraction property of equality

Julie used
because
. Samuel used
because
.

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.

60: 45 =12: 9 =4: 3 so the answer is 4: 3