Question

2 supplementary angles differ by 48 degree find the angles​

Answer 1

Answer:

The greater angle is 114° and the smaller angle is 66°.

Step-by-step explanation:

We are given that two supplementary angles differ by 48°.

We are given that two supplementary angles differ by 48°.Supplementary angles are those angles whose sum is equal to 180°.

We are given that two supplementary angles differ by 48°.Supplementary angles are those angles whose sum is equal to 180°.Let the greater angle be 'x', then the smaller angle would be '(180° - x)'.

We are given that two supplementary angles differ by 48°.Supplementary angles are those angles whose sum is equal to 180°.Let the greater angle be 'x', then the smaller angle would be '(180° - x)'.As the two supplementary angles differ by 48°, that means;

We are given that two supplementary angles differ by 48°.Supplementary angles are those angles whose sum is equal to 180°.Let the greater angle be 'x', then the smaller angle would be '(180° - x)'.As the two supplementary angles differ by 48°, that means;Greater angle - Smaller angle = 48°

=> x - (180-x) = 48

=> x -180+x = 48

=> 2x-180 = 48

=> 2x = 48+180

=> 2x=228

=> x = 228/2

=> x = 114

So, x = 114°

and, (180-x) = (180-114) = 66°

Hence, the greater angle is x = 114° and the smaller angle = 180° - 114° = 66°.

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