Question

Please tell me the method and answer of 2nd question

Answer 1

see explanation

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°