Question

Write an equation that can be used to solve the problem. Find the solution to the problem. Angles A and B are complementary angles. Determine the measures of angles A and B if angle A is 29 times the size of angle B. What is the measure of angle A? What is the measure of ongle B?

Answer 1

Let angle A measures x° and angle B measures y°.

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Then according to the given data, we have,

x + y = 90............. (1)

and, x = 29y............(2)

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Now from (1) and (2), we get that,

29y + y = 90

i.e. 30y = 90

i.e. y = 90/30

i.e. y = 3

So from (2), x = (29*3) = 87

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So angle A measures 87°

Angle B measures 3°