Please help me with this geometry problem, tysm

9514 1404 393

Step-by-step explanation:

The sum of the two adjacent angles is equal to the angle that includes both.

  ∠NBS +∠SBR = ∠NBR . . . . . angle sum theorem

  (12x -4) +42 = (17x +8)

  30 = 5x . . . . . . . . . . . . . . subtract 12x+8

  6 = x . . . . . . . . divide by 5

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Then the measure of ∠NBS is ...

  ∠NBS = 12x -4 = 12·6 -4

  ∠NBS = 68 . . . . degrees

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.