In the figure below, lines m and n are parallel: Two parallel lines are shown crossed by a transversal. The angles are labeled with
number 1-8. The angles on line m where the line is crossed by the transversal are 1,
2, 3, and 4 in clockwise order from top left. The angles on line n where the line is
crossed by the transversal are 5, 6, 7, and 8 in clockwise order from top left.
In the diagram shown, 27 measures 92 degrees. What is the measure of 28? (4
points)

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.

i have no clue what you just said. write a question in english?