if an angle is 160 more than its complement find its measure
Answers
Answered by
5
Answer:
The two supplementary angles are
10
and
170
degrees.
Explanation:
Two angles are supplementary when that add up to
180
degrees. In this case, we are given that one of the two angles is
160
degrees more than the other. We can construct the following equation.
x
+
(
x
+
160
)
=
180
x
represents the degree measure of the smaller angle. Now, all we need to do is solve the equation for
x
.
2
x
+
160
=
180
2
x
=
20
x
=
10
Now that we have the value of the smaller angle, we can easily solve for the larger angle. We are told that it is
160
degrees larger than the other one.
10
+
160
=
170
Therefore, the two supplementary angles are
10
and
170
degrees.
Answered by
5
question is wrong as angle can not be negative
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