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Hello there !

I will be glad to help you since I already studied this!

So,  the angles that will always be equal to each other formed by a transversal even in solving equations are, corresponding angles, alternative interior, and alternative exterior. Refer to the attachment for visual understanding

Vocabularies: Transversal -  transversal is a line that intersects two or more other (often parallel ) lines.

Include to this there are consecutive interior angles and for a tip, for example, you see an equation with consecutive angles add the two angles and make them equal to 180 degrees in most cases.

Depending on your question they may give you angles with same lines on them so which means in most cases they are equal even if they don't seem equal

I forgot to inform you about vertical angles!

they are also congruent..refer to the attachment too

Supplementary angles are on a straight line.... AND equal to a sum of  180 degrees.. refer to the attachment as well

Answers:

1.  Yes - because they are vertical angles

2. No because none of the rules apply so it's not congruent

3. Yes- they are congruent

4. No because none of the rules apply...

5. No-No because they aren't adjacent and  adjacent angles add up to 180 degrees(Tip: adjacent angles are close to each other almost on the same side)

6. No- they are corresponding... they do now add up to 180 degrees

7. No

Next page      

Refer to the other answer attachment please study the rules!

I Hope i helped!

If i made a mistake tell me cause no one is perfect but i think most of them are correct!

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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.