Could someone explain a). there is an attachment

All of these angles can be compared to each other.

There are:

- Alternate interior angles

-- Angles that share one line and two parallel lines and are less than 90 degrees (angles 10, 12). These angles are equal to each other.

- Alternate exterior angles

-- Angles that share one line and two parallel lines and are more than 90 degrees (angles 1,5) These angles are equal to each other.

- Vertical Angle

-- Angles that share a point and are opposite of that point (angles 2,3) These angles are equal to each other.

-Supplementary angles

-- Angles that are on the same side of one line and share the side of another (angles 9,10). These angles are always equal to 180 degrees.

Using this we know:

a. m of angle 5 = to the m of angle 3 = 102

m of angle 5 = 102 degrees

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: