Question

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

Answer 1

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°

Answer 2

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.