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The measure of an angle is twenty-nine times the measure of a complementary angle. what is the measure of each angle?

User Intrepidis
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2 Answers

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Complementary angles add up to 90°

Let one of the angle be x.
The other angle is 29x.

x + 29x = 90
30x = 90
x = 3
29x = 29(3) = 87

Answer: The two angles are 3° and 87°
User Rajat Modi
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Answer: Measure of angles are 3° and 87° respectively.

Explanation:

Let the measure of angle be x.

Let the measure of its complementary angle be '29x'.

As we know that in case of complementary angles, sum of two angles must be equal to 90°.

According to statement, we get that


x+29x=90^\circ\\\\30x=90^\circ\\\\x=(90)/(30)\\\\x=3^\circ

So, Measure of angle would be 3° and the measure of its complementary angle would be
29* 3=87^\circ

Hence, measure of angles are 3° and 87° respectively.

User Ryoku
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