PLEASE HELP ASAP NO LINKS OR WILL BE REPORTED! 1. In the figure below, a line intersects two parallel lines. Fill in the missing angles. a /b d e 42° C f f g (a) ​

<a=138°

<b=42°

<c=138°

<d=138°

<e=42°

<f=42°

Step-by-step explanation:

<a is supplementary with the 42° angle:

<a=180°-42°=138°

<b and the 42° are vertical angles, so:

<b=42°

<c and <a are also vertical angles so:

<c=<a=138°

<d and <a are corresponding angles, so:

<d=<a=138°

<e and <b are corresponding angles, so:

<e=<b=42°

<f and the 42° angle are corresponding angles, so:

<f=42°

<g and <c are corresponding angles, so:

<g=<c=138°

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.