The angle measures of triangles are shown.

which angle measures represent an acute triangle?

select all correct responses.

25°, 75°, and 80°

40°, 40°, and 100°

45°, 45°, and 90°

35°, 55°, and 90°

15°, 70°, and 95°

20°, 80°, and 80°

60°, 60°, and 60°

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.

answer4 to the second power is 16

and 4 to the third power is 64,