Question

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Answer 1

Step-by-step explanation:

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Answer 2

Answer 1 ⬇️

(i)

=> x+ 3x + x + 90° = 360

=> (Sum of all angles will be 360°)

=> 5x = 270.

=> x = 54°

(ii)

=> Angle BCD + Angle BCA = 180° ( is on st. line )

=> Angle BCA = 180° - 145

=> Angle BCA = 35°

=> So now ,

=> 140 = a + 35° (exterior angle property )

=> 106° = a

Answer 2 ⬇️

(i). => They are corresponding angles.

(i). => They are not corresponding angles.

Answer 3⬇️

(i)

=> 3x + 40 = x + 60° (Corresponding angles)

=> 3x - x = 60 - 40

=> 2x = 20

=> x = 10

Answer 4 ⬇️

(i)

=> 3x - 35 = 2x + 15 ( corresponding angles )

=> 3x - 2x = 35 + 15

=> x = 50

=> Now put the value of

=> x m 3x - 35 = 150 - 35 = 115°

=> y = 3x - 35 = 115 ( vertically opposite angles )

Answer 5⬇️