Question

The measure of 2 angles are in a 2:3 ratio. If the larger angle is 30 more than 1/2 the smaller one find the measure of 1/2 the larger one

Answer 1

two complementary angles are in the ratio 3:2. the number of degrees in the smaller angle is

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Let one of the angles be "x".

Then the other is "90-x".

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Equation:

x/(90-x) = 3/2

2x = 3(90-x)

2x = 270-3x

5x = 270

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x = 54 degrees

90-x = 36 degrees

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Explanation: