Question

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Answer 1

Answer:

1)Angles on one side of a straight line always add to 180 degrees.

so, sum of angles BOC and COA will be 180.

Hence(3x+5)+(2x-25)=180

or, 3x+5+2x-25=180

so,5x-20=180

so,5x=180+20

so, 5x=200

so, x=200/5

so, x=40°

3)Given: ∠1 = 60° and ∠2 = ( 2/3 )rd of a right angle.

To prove: parallel to m

Proof ∠1 = 60°

∠1 = 2/3 x 90o = 60

∠1 = ∠2 = 60

Parallel to m as pair of corresponding angles are equal.

4)Let the angles be x

As they are in ratio of 4:5 ,so we can write it in the form of 4x ,5x

We know supplementary angle =180°

so,According to the question

4x+5x =180°

9x =180°

x =180°÷9

x =20°

so , 1 st angle = 4x =4×20° =80°

2 nd angle = 5x = 5×20° =100°

◆PROOF◆

4x + 5x =180°

4×20° +5×20° =180°

80°+ 100°=180°

180° =180°

[VERIFIED]

5)

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Answer 2

Answer:

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