Question

two supplementary angle are different from each other by 48 degree find the angle​

Answer 1

Answer:

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Let the two angles be x° and (180°-x°)

now according to question

(original angle)- (its supplementary angle)=48°

x°-(180°-x)=48°

x°-180°+x°=48°

2x°=48°+180°

2x°=228°

x°=114°

angle's measurement=114°,

supplementary angle measurement=66°

Answer 2

Supplementary angles: The pair of angles which have their sum equal to 180°.

If one angle of the pair of supplementary angles is x, then other will be equal to 180 - x°

Now here we have that their difference is 48°

=> x - (180 - x) = 48

=> x - 180 + x = 48

=> 2x = 228

=> x = 114°

Angles are: 114°, 66°