Two angles are supplementary. One of the angles measures 55∘ . The other angle must measure? A.125 B.55 C.45 D.35

The other angle must measure 125.

Step-by-step explanation:

Supplementary angles by definition are two angles that add up to 180 degrees. If one of the angles is 55, then the other angle must be a value that when added to 55 will equal 180.

x + 55 = 180

x = 125.

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.

b. 2 and 4

step-by-step explanation: