Question

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Answer 1

1. Angle AOC + Angle BOC = 180°

( Linear pair ).

135 + x = 180°

x = 180 - 135.

x = 45 ° .

2. Angle POS + Angle SOR + Angle QOR = 180°

( PQ is a straight line ).

So,

70° + x + 50° = 180°.

x + 120° = 180°

x = 180° - 120°

x = 60° .

3. 2x - 5 + 3x + 10 = 180°

( linear pair ).

5x +5 = 180°

5{ x + 1 } = 180 °

x+ 1 = 180° / 5.

x = 36 -1

x = 35.

4. 2x - 25 = 115 °

( Vertically opposite angles ).

2x = 115 + 25

2x = 140

x = 140 / 2

x = 70.

5. 4x + 6x +2x = 180° .

( straight line ).

12 x = 180°

x = 180° / 12 .

x = 15