The measures of two complementary angles are in the ratio 4:1. What is the measure of the smaller angle?

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The measures of two complementary angles are in the ratio 4:1. What is the measure of the smaller angle?

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Answer 1 · 2018-08-05T23:11:09

The measure of the smaller angle is 18 degrees

Explanation:

Complementary = 90 degrees

Let's say there are 5 parts of the complementary angles, to solve for one part:
$\frac{90}{5} = 18$ $90/5=18$

Then we can multiply 18 by 1 and 4 to find the two complementary angles.

$18 \cdot 1 = 18$ $18*1=18$

$18 \cdot 4 = 72$ $18*4=72$

The smaller angle is 18 degrees.

Answer 2 · 2018-08-06T09:24:47

$18^{\circ}$ $18^@$

Explanation:

$Complementary angles sum to 90^{\circ}$ $"Complementary angles sum to "90^@$

$sum the parts of the ratio 4 + 1 = 5$ $"sum the parts of the ratio "4+1=5$

$\frac{90^{\circ}}{5} = 18^{\circ} \leftarrow 1 part$ $90^@/5=18^@larrcolor(blue)"1 part"$

$4 \times 18^{\circ} = 72^{\circ} \leftarrow 4 parts$ $4xx18^@=72^@larrcolor(blue)"4 parts"$

$the 2 complementary angles are$ $"the 2 complementary angles are"$

$18^{\circ} and 72^{\circ}$ $18^@" and "72^@$

$18^{\circ} is the smaller angle$ $18^@" is the smaller angle"$

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The measures of two complementary angles are in the ratio 4:1. What is the measure of the smaller angle?

2 Answers

Explanation:

Explanation:

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