-What is Supplement of thrice of complement of 30°?
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Answer:
Let the angle to be solved be
x
Let the supplement/compliment by
y
x
+
y
=
90
Complimentary angles add up to 90 degrees.
x
+
3
y
=
180
Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:
x
+
y
=
90
Isolate
x
:
x
=
90
−
y
Input into the other equation:
(
90
−
y
)
+
3
y
=
180
Combine like terms, isolate
y
and its coefficients:
2
y
=
90
Isolate
y
y
=
45
Input into the first equation:
x
+
45
=
90
Isolate
x
:
x
=
45
degrees
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