Two supplementary angles differ by °. Find the angles.
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Answer:
Let one supplementary angle be x
o
then other angle will be x+48
o
⇒ x+(x+48)=180
o
⇒ 2x+48
o
=180
o
⇒ 2x=180
o
−48
o
⇒ 2x=132
o
⇒ x=
2
132
o
⇒ x=66
o
⇒ x+48
o
=66
o
+48
o
=114
o
∴ The required angles are 66
o
and 114
o
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