Question

recall that two angles are comlementary if the sum of their measures is 90. find the measures of two complementary angles if one angle is twenty-nine times the other angle.

Answer 1

First angle is 3 degree

Second angle is 87 degree

Explanation:

Let's assume

second angle is x

we are given

one angle is twenty-nine times the other angle

so, first angle is

`=29x`

we know that these two angles are complementary

so, the sum of their measures is 90

First angle + second angle =90

`x+29x=90`

`30x=90`

`x=3`

now, we can find second angle

Second angle is

`=29* 3`

`=87`

So,

First angle is 3 degree

Second angle is 87 degree