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(b)
We know that the sum of the angles of a triangle is 180°.
The given angles of the triangle are
x + 40°, 2x - 5°, 3x - 17°
∴ we can say that,
x + 40 + 2x - 5 + 3x - 17 = 180
⇒ x + 2x + 3x + 40 - 5 - 17 = 180
⇒ 6x + 18 = 180
⇒ 6x = 180 - 18 = 162
⇒ x = 162/6 = 27
∴ x = 27°
To check, you can substitute the value of x and add up the angles. If the sum is 180°, the value of x is correct.
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This is the complete explanation
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