Question

Please help me with this geometry problem, tysm

Answer 1

9514 1404 393

Answer:

• x = 6
• ∠NBS = 68°

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