Samir is a roofer. Here is a section of a roof made from straight pieces of wood. Samir knows that•the shaded triangle is an equilateral triangle•the line DB is a line of symmetry•the line ABC is a straight line •the size of the angle marked x° indicates the pitch of the roof. The table shows information about the pitch and angle of a roof. Find the value of x and use the table to give the pitch of the roof.

d

step-by-step explanation:

d

-6 is the correct option from the above given options

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.