Question 3 triangle abc and def are congruent. find x. 45 50 58 73

x = 73°

Step-by-step explanation:

We know that the triangles ABC and DEF are congruent to each other. Therefore each of the sides and angles of triangle ABC correspond to the sides and angles of triangle DEF.

It means that A corresponds to D, B corresponds to E and C corresponds to F.

We are given the value for the angle A which is equal to 65° and corresponds to angle D, with a value of (x - 8)°, of the other triangle, so we can write:

65° = (x - 8)°

x = 65 + 8

x = 73°

answer: 12

step-by-step explanation:

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.