Question

two supplementary angles differ by 48°. find the angles.

Answer 1

Supplementary angles are two angles with a sum of 180 degrees. If the two angles differ by 48 degrees, the bigger angle is 48 degrees more and equals x+48. The sum of the two angles is 180, so... x=66 This is the measure of the smaller angle.
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Answer 2

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°.

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°

 $x - (180-x) = 48$

 $x -180+x = 48$

 $2x-180 = 48$

 $2x = 48+180$

 $2x=228$

  $x=\frac{228}{2}=114$

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