The measures of two angles have a sum of 90degrees. The measures of the angles are in a ratio of 2:1, how do you determine the measures of both angles?

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Answer 1 · 2016-12-01T02:46:25

The smaller angle is 30 degrees and the second angle being twice as large is 60 degrees.

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:

$a + 2a = 90$

$(1 + 2)a = 90$

$3a = 90$

$(3a)/3 = 90/3$

$a = 30$