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stepladder [879]
4 years ago
8

Please tell me the method and answer of 2nd question

Mathematics
1 answer:
liberstina [14]4 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

In a trapezium the lower base angle is supplementary to the upper bas angle on the same side, thus

4x + 91 - 9x + 59 = 180, that is

- 5x + 150 = 180 ( subtract 150 from both sides )

- 5x = 30 ( divide both sides by - 5 )

x = - 6

Thus

∠ N = - 9x + 59 = - 9(- 6) + 59 = 54 + 59 = 113°

∠ K = 4x + 91 = 4(- 6) + 91 = - 24 + 91 = 67°

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svet-max [94.6K]
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hmm
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