Supplementary Angles:
Supplementary angles are two angles that add up to 180°. In other words, if the sum of two angles is 180°, then they are considered supplementary angles.

Given Information:
We are given that two supplementary angles differ by 48°. Let's assume one angle as 'x'. In that case, the other angle can be expressed as 'x + 48°'.

Equation:
Since the two angles are supplementary, their sum should be 180°. Therefore, we can form the equation:
x + (x + 48°) = 180°

Solve the Equation:
Now, let's solve the equation to find the values of the angles.

Combining like terms:
2x + 48° = 180°

Subtracting 48° from both sides:
2x = 132°

Dividing both sides by 2:
x = 66°

So, one of the angles is 66°.

To find the other angle, we substitute the value of x back into the equation:
x + 48° = 66° + 48° = 114°

Therefore, the two angles are 66° and 114°.

Conclusion:
If two supplementary angles differ by 48°, one angle will be 66° and the other angle will be 114°.

if thesum of two angles is 180 the its said to be supplementry..So, let one angle=x° let other angle=x°- 48°now, sum of two angles in supplementry=180°therefore.. x°+x°-48°=180° x°+x°=180°+48° 2x°= 228° x°=228÷2 x=114° then other angle= x-48° =114°-48° =66°and there's your answer..i think this is the answer if wrong then plz...consult your teacher...