The measures of two angles have a sum of 90°. The measures of the angles are in a ratio of 2:1. Determine the measures of both angles.
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Answered by
2
Step-by-step explanation:
The smaller angle is 30 degrees and the second angle being twice as large is 60 degrees.
Explanation:
Let's call the smaller angle
a
.
Because the ratio of the angles is
2
:
1
the second, or larger angle is:
2
⋅
a
.
And we know the sum of these two angles is 90 so we can write:
a
+
2
a
=
90
(
1
+
2
)
a
=
90
3
a
=
90
3
a
3
=
90
3
a
=
30
Answered by
0
Answer:
Step-by-step explanation:
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