1) 60,120 2) 179, 1 3) 90,90 etc.

i) Two acute angles can not be supplement of each other.

ii) Two right angles are always supplementary.

iii) Two obtuse angles can not be supplementary of each other.

1) The two angles are supplementary. If one of the angle is thrice that of the other then find the two angles.

As we know that sum of two supplementary-angles is 180

Let one angle be x so other angle be 3x.

x + 3x = 180

4x = 180

x = 180/4

x = 45

&ther4; one angle = 45

and other angle = 3x = 3 x 45 = 135

2) Two supplementary-angles differ by 34

Let one angle = x

Other angle = (x + 34)

As we know that sum of two supplementary-angles is 180

∴ x + x + 34 = 180

⇒ 2x + 34 = 180

⇒ 2x = 180 – 34

⇒ 2x = 146

⇒ x = 146/2

⇒ x = 73

Other angle = 73 + 34 = 107

Hence, the measures of two angles are 73

1) 45

2) 30

3) 112.8

4) 1

5) 34

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