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+1 vote
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in Angles and Pairs of Angles by (47.6k points)
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Write the measures of the supplements of the angles given below: 

i. 15° 

ii. 85° 

iii. 120° 

iv. 37°

1 Answer

+2 votes
by (46.9k points)
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Best answer

i. Let the measure of the supplementary angle be x°. 

∴ 15 + x = 180

∴ 15 + x – 15 = 180 – 15 ….(Subtracting 15 from both sides) 

∴ x = 165 

∴ The measures of the supplement of an angle of 15° is 165°. 

ii. Let the measure of the supplementary angle be x°. 

∴ 85 + x = 180 

∴ 85 + x – 85 = 180 – 85 ….(Subtracting 85 from both sides) 

∴ x = 95

∴ The measures of the supplement of an angle of 85° is 95°. 

iii. Let the measure of the supplementary angle be x°. 

∴ 120 + x = 180 

∴ 120 + x – 120 = 180 – 120 ….(Subtracting 120 from both sides)

∴ x = 60 

∴ The measures of the supplement of an angle of 120° is 60°. 

iv. Let the measure of the supplementary angle be x°. 

∴ 37 + x = 180 

∴ 37 + x – 37 = 180 – 37 ….(Subtracting 37 from both sides) 

∴ x = 143 

∴ The measures of the supplement of an angle of 37° is 143°.

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