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.

Respuesta :

Answer:

First angle is 3 degree

Second angle is 87 degree

Step-by-step explanation:

Let's assume

second angle is x

we are given

one angle is twenty-nine times the other angle

so, first angle is

[tex]=29x[/tex]

we know that these two angles are complementary

so, the sum of their measures is 90

First angle + second angle =90

[tex]x+29x=90[/tex]

[tex]30x=90[/tex]

[tex]x=3[/tex]

now, we can find second angle

Second angle is

[tex]=29\times 3[/tex]

[tex]=87[/tex]

So,

First angle is 3 degree

Second angle is 87 degree