In a scalene triangle the first angle is 3 times as large as the second, while the third angle is 20 degrees smaller than the second. find the size of each angle; hence, name the triangle according to its angles' sizes.

20°, 40°, 120°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

let the second angle be x then the first angle = 3x ( 3 times the second) and

the third angle = x - 20 ( 20 smaller than the second ), hence

x + 3x + x - 20 = 180

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

first angle = 3x = 3 × 40 = 120°

second angle = x = 40° and third angle = x - 20 = 40 - 20 = 20°

she gotta workk that a 2

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.