Problema Solution
(42) complementary angles
two angles are complementary (see # 41) the meaasure of one angle is 1 1/2 times the measure of the other. find the measure of each angle
(41) the sum of the measure of two complementary angles is 90% if one angle measure 15% more than twice the measure of its complement, find the measure of each angle.
Answer provided by our tutors
The measure of a complement of an angle is three more than twice the measure of the angle. Find the measures of the complement.
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angle: x
complement: 90-x
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Equation:
90-x = 2x+3
3x = 87
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x = 29
First name the variables.
Let be the angle.
Let be the complement.
1. By definition.
That's the first equation.
Then also,
2.
Now you can substitute eq. 2 into eq. 1 and solve for .
.
degrees
Then from eq. 1,
degrees