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Step-by-step explanation:

1. Given angles are,

40°, 3x+8° , 10x+42°

Therefore, by the problem,

=> 40° + 3x+8° + 10x+42° = 180° [Angle sum property of triangle]

=> 3x + 10x = 180° - (40°+42°+8°)

=> 13x = 180° - 90°

=> 13x = 90°

Hence required value of x is (90/13)°

2. Given,

12x - 18° = 5x +19° [Alternate angles]

=> 12x - 5x = 19 + 18

=> 7x = 37

Hence required value of x is (37/7)°

3. Given,

Exterior angle 132°

So it's paired interior angle will be = 180° - 132° (linear pair) = 48°

Hence the angles we get are = 42° , 87° , 20x - 10°

Therefore, by the problem,

48° + 87° + 20x - 10° = 180° [Angle sum property of triangle]

=> 20x = 180 - 48 - 87 + 10

=> 20x = 55

=> x = 2.75

Hence required value of x is 2.75

x=30

step-by-step explanation: